# Trig exact pdf functions of values

## Precalculus Trig Day 2 Exact Values Worksheet Answers

Exact Values of the Sine and Cosine Functions in Increments of 3. Exact Values of Sine and Cosine in Increments of 3 Degrees Consider an isosceles triangle with the property that when one of its equal angles is bisected the bisector generates a smaller triangle similar to the original. This is illustrated below: Since α+ 2α+ 2α=180°, we see that the angles must be 36°,72°,72°., REVIEW SHEETS . TRIGONOMETRY . MATH 112 . A Summary of Concepts Needed to be Successful in Mathematics . The following sheets list the key concepts which are taught in the specified math course. The sheets present concepts in the order they are taught and give examples of their use. WHY THESE SHEETS ARE USEFUL –.

### Find The Exact Value Of Each Trigonometric Function Worksheet

Finding the Exact Value of Trigonometric Functions Scribd. 15-10-2015 · A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. \n\nBoth documents contain the same content., Exact Values of Sine and Cosine in Increments of 3 Degrees Consider an isosceles triangle with the property that when one of its equal angles is bisected the bisector generates a smaller triangle similar to the original. This is illustrated below: Since α+ 2α+ 2α=180°, we see that the angles must be 36°,72°,72°..

Exact Trigonometry Functions for Selected Acute Angles. Using the lengths of the sides of the two special right triangles — the 30-60-90 right triangle and the 45-45-90 right triangle — the following exact values for trig functions are found. Using these values in conjunction with reference angles and signs of the functions in the different Find the exact values of the five trigonometric ratios not given. 19) cot and sin 20) cos and sin 21) sin and cos 22) tan and cos 23) csc and cos 24) sec and sin ©] I2u0r1h6Q gKIuptzaT uSyoBfUtvwgaHrgeD PLSLkCr.K H \A[lUlq Ir`iTg`hhtysz Grae\sleirwvheYdv.X X zMdaud_e^ owqiSt_hJ qIAn\feiDnxiZtJeG FPXraeqcra]lwcKuHlMugso. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Trig …

Find the exact values of the five trigonometric ratios not given. 19) cot and sin 20) cos and sin 21) sin and cos 22) tan and cos 23) csc and cos 24) sec and sin ©] I2u0r1h6Q gKIuptzaT uSyoBfUtvwgaHrgeD PLSLkCr.K H \A[lUlq Ir`iTg`hhtysz Grae\sleirwvheYdv.X X zMdaud_e^ owqiSt_hJ qIAn\feiDnxiZtJeG FPXraeqcra]lwcKuHlMugso. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Trig … The six trigonometric functions can be defined as coordinate values of points on the Euclidean plane that are related to the unit circle, which is the circle of radius one centered at the origin O of this coordinate system. While right-angled triangle definitions permit the definition of the trigonometric functions for angles between 0 and radian (90°), the unit circle definitions allow to extend the domain of the …

Precalculus Worksheet Name _____ Section 4.7 – Inverse Trig Functions Period _____ Evaluate the given expression without the aid of a calculator. 1. sin 1 1 2 §· ¨¸ ©¹ Exact Values of the Trigonometric Functions: Test yourself on the exact values of the six trigonometric functions at the "nice" angles. Click on "Show" and "Hide" in each table cell to control which values are displayed. Work on these values until you know them all!

Trigonometric Ratios In Quadrants 2, 3 and 4 If the terminal arm of an angle falls in quadrants 2, 3 or 4, we use a reference angle of 6; 4 and 3 in conjunction with the CAST rule to determine the value and the sign. J. Garvin|Exact Values of Trigonometric Ratios Slide 6/16 Using the 1-2-p 3 triangle, the opposite side to 3 has a length of p 3, while the hypotenuse has a length of 2. Therefore, sin 3 = p 3 2. J. … Exact Trig Values Of Special Angles Worksheet - Switchconf Worksheets On Special Angles Worksheet Example the 25 best trigonometric functions - Graph.catgifts.co the 25 best trigonometric functions Exact values of Sine, Cos and Tan in the Unit Circle - GeoGebra View Worksheet

All values are rounded to four decimal places. Click the image for the full-sized image or download the PDF version . The downloadable trig table PDF is optimized to fit on a single 8½ x 11″ sheet of paper. 18-11-2016 · Able trig table pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table table of exact values trigonometric functions by jamiea06 trigonometry sin cos tan cot csc sec pi angle formula pdf Share this:

18-11-2016 · Able trig table pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table table of exact values trigonometric functions by jamiea06 trigonometry sin cos tan cot csc sec pi angle formula pdf Share this: Finding the Exact Value of Trigonometric Functions - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. random

Unformatted text preview: Exact Values of the Sine and Cosine Functions in Increments of 3 degrees The sine and cosine values for all angle measurements in multiples of 3 degrees can be determined exactly, represented in terms of square-root radicals, and the four common operations of arithmetic.From the 45-45-90 degree triangle, set the hypotenuse to 1, and use the Pythagorean formula to determine and cos … Finding Exact Values of Trig Functions Find the exact value of each trigonometric function. Do NOT use a calculator! 1) cos −45 ° 2) tan −240 ° 3) cos 45 ° 4) cos 225 ° 5) cos −240 ° 6) tan 60 ° 7) sin 45 ° 8) sin −225 ° 9) tan −60 ° 10) sin 225 ° 11) tan 5 π 3 12) sin 4π 3 13) cos − π 2 14) cos 3π 2 15) cos −

Table of Trig Function Values for Special Angles -- sidebar Why do we need to know this? The exact answers for the various trig functions for certain angles are very well known, and your teachers will expect you to know them. This is one of those times when some memorization is important. What should you know? The Trigonometric Functions Values of the Trigonometric Functions Fundamental Identities. 3 Trigonometric Functions Of Real Numbers A function is a rule that assigns to each real number another real number. In this section we use properties of the unit circle to define the trigonometric functions. 4 The Trigonometric Functions. 5 The Trigonometric Functions We know that to find the terminal point …

### Trigonometry Review with the Unit Circle All the trig. youвЂ™ll ever

Calculus I Trig Functions (Assignment Problems). Finding the Exact Value of Trigonometric Functions - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. random, In pre-calculus, you need to evaluate the six trig functions — sine, cosine, tangent, cosecant, secant, and cotangent — for a single angle on the unit circle. For each angle on the unit circle, three other angles have similar trig function values. The only difference is that the signs of these values are opposite, depending […].

Calculus I Trig Functions (Assignment Problems). 19-11-2018 · Visit the post for more. 14 Unit Circle Chart Templates Doc Pdf Free Premium Table of exact values trigonometric functions by jamiea06 able trig table pdf 7 sin cos tan chart templates pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table, REVIEW SHEETS . TRIGONOMETRY . MATH 112 . A Summary of Concepts Needed to be Successful in Mathematics . The following sheets list the key concepts which are taught in the specified math course. The sheets present concepts in the order they are taught and give examples of their use. WHY THESE SHEETS ARE USEFUL –.

### Precalculus Trig Day 2 Exact Values Worksheet Answers

Exact Trig Values Hand Trick Trigonometry Maths. In pre-calculus, you need to evaluate the six trig functions — sine, cosine, tangent, cosecant, secant, and cotangent — for a single angle on the unit circle. For each angle on the unit circle, three other angles have similar trig function values. The only difference is that the signs of these values are opposite, depending […] 20-12-2017 · Section 1-3 : Trig Functions. Determine the exact value of each of the following without using a calculator. Note that the point of these problems is not really to learn how to find the value of trig functions but instead to get you comfortable with the unit circle since that is a very important skill that will be needed in solving trig equations..

Precalculus Trig Day 2 EXACT VALUES Name _____Hour _____ NO CALCULATOR ON THIS ENTIRE WORKSHEET Use special right triangles to write the missing side lengths on each triangle. Use the triangles above to state the EXACT VALUE of the trig functions WITHOUT using a calculator. 1. sin 2. cos 3. tan60° 4. sin45° 5. cos 6. tan Table of Trig Function Values for Special Angles -- sidebar Why do we need to know this? The exact answers for the various trig functions for certain angles are very well known, and your teachers will expect you to know them. This is one of those times when some memorization is important. What should you know?

12-03-2017 · There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90. In this video we will discover one method of remember what these values are Unformatted text preview: Exact Values of the Sine and Cosine Functions in Increments of 3 degrees The sine and cosine values for all angle measurements in multiples of 3 degrees can be determined exactly, represented in terms of square-root radicals, and the four common operations of arithmetic.From the 45-45-90 degree triangle, set the hypotenuse to 1, and use the Pythagorean formula to determine and cos …

Table of Trigonometric Functions – Exact Values for Special Angles Angle θ Values of the trigonometric functions in degrees in radians sin(θ) cos(θ) tan(θ) cot(θ) sec(θ) csc(θ) Title: Microsoft Word - Table of Exact Trig Values.doc Author: HP_Administrator Created Date: 9/3/2010 11:13:55 AM 15-10-2015 · A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. \n\nBoth documents contain the same content.

Start studying Exact Values of Trig Functions. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Use inverse trig functions to determine missing angles of a right triangle Solve word problems involving right triangles Identify and name angles as rotations on the coordinate plane Determine the sign (+/-) of trig functions on the coordinate plane Determine sin, cos, and tangent of “special angles” (exact trig values)

Exact Values of the Sine and Cosine Functions in Increments of 3 degrees The sine and cosine values for all angle measurements in multiples of 3 degrees can be represented in terms of square-root radicals, and the four common operations of arithmetic. These values can be determined geometrically using three useful right triangles. 20-12-2017 · Section 1-3 : Trig Functions. Determine the exact value of each of the following without using a calculator. Note that the point of these problems is not really to learn how to find the value of trig functions but instead to get you comfortable with the unit circle since that is a very important skill that will be needed in solving trig equations.

Trigonometry Review with the Unit Circle: All the trig. you’ll ever need to know in Calculus Objectives: Ex. Find the exact values of all 6 trigonometric functions of the angle θ shown in the figure. SOLUTION: first you’ll need to determine the 3rd side using ab22+ =c2 Æ a22+=5132 Æ a =12 So for the angle labeled θ, ADJACENT = 12, OPPOSITE = 5 and HYPOTENUSE = 13 opp 5 sin hyp 13 θ== adj 12 cos hyp 13 θ== … 11-08-2016 · How to Find Exact Values for Trigonometric Functions. The unit circle is an excellent guide for memorizing common trigonometric values. However, there are often angles that are not typically memorized. We will thus need to use...

11-08-2016 · How to Find Exact Values for Trigonometric Functions. The unit circle is an excellent guide for memorizing common trigonometric values. However, there are often angles that are not typically memorized. We will thus need to use... 15-10-2015 · A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. \n\nBoth documents contain the same content.

Precalculus Trig Day 2 EXACT VALUES Name _____Hour _____ NO CALCULATOR ON THIS ENTIRE WORKSHEET Use special right triangles to write the missing side lengths on each triangle. Use the triangles above to state the EXACT VALUE of the trig functions WITHOUT using a calculator. 1. sin 2. cos 3. tan60° 4. sin45° 5. cos 6. tan Precalculus Trig Day 2 EXACT VALUES Name _____Hour _____ NO CALCULATOR ON THIS ENTIRE WORKSHEET Use special right triangles to write the missing side lengths on each triangle. Use the triangles above to state the EXACT VALUE of the trig functions WITHOUT using a calculator. 1. sin 2. cos 3. tan60° 4. sin45° 5. cos 6. tan

The six trigonometric functions can be defined as coordinate values of points on the Euclidean plane that are related to the unit circle, which is the circle of radius one centered at the origin O of this coordinate system. While right-angled triangle definitions permit the definition of the trigonometric functions for angles between 0 and radian (90°), the unit circle definitions allow to extend the domain of the … 01-10-2018 · Buche 3 Trig Fabulous Cool Meet The Neighbours Near Trig Point With from precalculus trig day 2 exact values worksheet answers , source:ukmtech.com. You need to comprehend how to project cash flow. Regardless of what your company planning goals, cash flow is still the resource in the organization, and cash is the one most important small

Find The Exact Value Of Each Trigonometric Function Worksheet. unformatted text preview: exact values of the sine and cosine functions in increments of 3 degrees the sine and cosine values for all angle measurements in multiples of 3 degrees can be determined exactly, represented in terms of square-root radicals, and the four common operations of arithmetic.from the 45-45-90 degree triangle, set the hypotenuse to 1, and use the pythagorean formula to determine and cos …, find the exact values of the five trigonometric ratios not given. 19) cot and sin 20) cos and sin 21) sin and cos 22) tan and cos 23) csc and cos 24) sec and sin ©] i2u0r1h6q gkiuptzat usyobfutvwgahrged plslkcr.k h \a[lulq ir`itg`hhtysz grae\sleirwvheydv.x x zmdaud_e^ owqist_hj qian\feidnxiztjeg fpxraeqcra]lwckuhlmugso. worksheet by kuta software llc kuta software - infinite precalculus trig …).

25-09-2018 · Table of exact values trigonometric functions by jamiea06 table for the 6 trigonometric functions special angles able trig table pdf trigonometrical ratios table trigonometric standard angles. Whats people lookup in this blog: Table Of Values Trigonometric Functions Pdf Worksheet 4.6 Properties of Trigonometric functions Section 1 Review of Trigonometry This section reviews some of the material covered in Worksheets 2.2, 3.3 and 3.4. The reader should be familiar with the trig ratios, using radians and working with exact values which arise from the following standard triangles. 2 ˇ 4 ˇ 4 1 1 p ˇ 3 ˇ 6 1 p 3 2

16-09-2018 · Table of exact values trigonometric functions by jamiea06 able trig table pdf the unit circle table of values rama ciceros co trigonometrical ratios table trigonometric standard angles. Whats people lookup in this blog: Values Of Trigonometric Functions Table Pdf; Values Of Trigonometric Functions Table; Trigonometric Functions Table Of Values degrees when you are studying functions, graphs, and such things as periodic motion. This is because radians simplify all calculus formulas for trig functions. The price we pay for simplicity is that we need to introduce the fundamental constant p. But that is worth understanding anyway. O A xed B - movable R Imagine a circle, with an angle

11-08-2016 · How to Find Exact Values for Trigonometric Functions. The unit circle is an excellent guide for memorizing common trigonometric values. However, there are often angles that are not typically memorized. We will thus need to use... 20-12-2017 · Section 1-3 : Trig Functions. Determine the exact value of each of the following without using a calculator. Note that the point of these problems is not really to learn how to find the value of trig functions but instead to get you comfortable with the unit circle since that is a very important skill that will be needed in solving trig equations.

11-08-2016 · How to Find Exact Values for Trigonometric Functions. The unit circle is an excellent guide for memorizing common trigonometric values. However, there are often angles that are not typically memorized. We will thus need to use... Trigonometric Ratios In Quadrants 2, 3 and 4 If the terminal arm of an angle falls in quadrants 2, 3 or 4, we use a reference angle of 6; 4 and 3 in conjunction with the CAST rule to determine the value and the sign. J. Garvin|Exact Values of Trigonometric Ratios Slide 6/16 Using the 1-2-p 3 triangle, the opposite side to 3 has a length of p 3, while the hypotenuse has a length of 2. Therefore, sin 3 = p 3 2. J. …

Use inverse trig functions to determine missing angles of a right triangle Solve word problems involving right triangles Identify and name angles as rotations on the coordinate plane Determine the sign (+/-) of trig functions on the coordinate plane Determine sin, cos, and tangent of “special angles” (exact trig values) 12-03-2017 · There are some key angles that have exact values in trigonometry. The ones we need to know are 0, 30, 45, 60 and 90. In this video we will discover one method of remember what these values are

15-10-2015 · A poster with a table of exact values for sin, cos and tan at 0, 30, 45, 60 and 90 degrees. This could be useful for young people doing higher mathematics in Scotland. \n\nBoth documents contain the same content. functions and find the values of inverse trigonometric functions. Example: Graph f(x) = sin-1x. PC.4.10 Solve problems that can be modeled using trigonometric functions, interpret the solutions and determine whether the solutions are reasonable. Example: In Indiana, the length of a day in hours varies through the year, usually with the longest day

How to Calculate Values for the Six Trigonometric Functions

Find the exact value of each trigonometric function.. find exact values of trigonometric functions without using a calculator. questions with solutions and answers are presented. the trigonometric identities and formulas in this site may be used to solve the questions below., entire table: shows each trig function evaluated for every degree 1 through 360. special table: shows each trig function evaluated for special angles, like 30, 45, and 60 degrees. you may also be interested in our unit circle page - a way to memorize the special angle values quickly and easily!); 25-09-2018 · table of exact values trigonometric functions by jamiea06 table for the 6 trigonometric functions special angles able trig table pdf trigonometrical ratios table trigonometric standard angles. whats people lookup in this blog: table of values trigonometric functions pdf, trigonometric functions mc-ty-trig-2009-1 the sine, cosine and tangent of an angle are all deﬁned in terms of trigonometry, but they can also be expressed as functions. in this unit we examine these functions and their graphs. we also see how to restrict the domain of each function in order to deﬁne an inverse function..

Precalculus Worksheet Name Section 4.7 Inverse Trig Functions

Trigonometric functions Mathematics resources. trigonometric ratios in quadrants 2, 3 and 4 if the terminal arm of an angle falls in quadrants 2, 3 or 4, we use a reference angle of 6; 4 and 3 in conjunction with the cast rule to determine the value and the sign. j. garvin|exact values of trigonometric ratios slide 6/16 using the 1-2-p 3 triangle, the opposite side to 3 has a length of p 3, while the hypotenuse has a length of 2. therefore, sin 3 = p 3 2. j. …, exact values of sine and cosine in increments of 3 degrees consider an isosceles triangle with the property that when one of its equal angles is bisected the bisector generates a smaller triangle similar to the original. this is illustrated below: since α+ 2α+ 2α=180°, we see that the angles must be 36°,72°,72°.).

Examples Evaluate Expression Involving Inverse Trig Functions

Trigonometric Table Grade A Math Help. 18-11-2016 · able trig table pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table table of exact values trigonometric functions by jamiea06 trigonometry sin cos tan cot csc sec pi angle formula pdf share this:, 19-11-2018 · visit the post for more. 14 unit circle chart templates doc pdf free premium table of exact values trigonometric functions by jamiea06 able trig table pdf 7 sin cos tan chart templates pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table).

Find The Exact Value Of Each Trigonometric Function Worksheet

Exact Values of the Sine and Cosine Functions in Increments of 3. 16-09-2018 · table of exact values trigonometric functions by jamiea06 able trig table pdf the unit circle table of values rama ciceros co trigonometrical ratios table trigonometric standard angles. whats people lookup in this blog: values of trigonometric functions table pdf; values of trigonometric functions table; trigonometric functions table of values, precalculus worksheet name _____ section 4.7 – inverse trig functions period _____ evaluate the given expression without the aid of a calculator. 1. sin 1 1 2 §· ¨¸ ©¹).

REVIEW SHEETS TRIGONOMETRY MATH 112

Trigonometric Table Grade A Math Help. 19-11-2018 · visit the post for more. 14 unit circle chart templates doc pdf free premium table of exact values trigonometric functions by jamiea06 able trig table pdf 7 sin cos tan chart templates pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table, exact trig values of special angles worksheet - switchconf worksheets on special angles worksheet example the 25 best trigonometric functions - graph.catgifts.co the 25 best trigonometric functions exact values of sine, cos and tan in the unit circle - geogebra view worksheet).

Exact Values of the Sine and Cosine Functions in Increments of 3 degrees The sine and cosine values for all angle measurements in multiples of 3 degrees can be represented in terms of square-root radicals, and the four common operations of arithmetic. These values can be determined geometrically using three useful right triangles. Exact Trig Values of Special Angles Date_____ Period____ Find the exact value of each trigonometric function. 1) tan θ x y 60 ° 2) sin θ x y 225 ° 3) sin θ x y 90 ° 4) cos θ x y 150 ° 5) cos θ x y 90 ° 6) tan θ x y 240 ° 7) cos θ x y 135 ° 8) tan θ x y 150 °-1-

01-10-2018 · Buche 3 Trig Fabulous Cool Meet The Neighbours Near Trig Point With from precalculus trig day 2 exact values worksheet answers , source:ukmtech.com. You need to comprehend how to project cash flow. Regardless of what your company planning goals, cash flow is still the resource in the organization, and cash is the one most important small Exact Values of the Trigonometric Functions: Test yourself on the exact values of the six trigonometric functions at the "nice" angles. Click on "Show" and "Hide" in each table cell to control which values are displayed. Work on these values until you know them all!

Exact Trigonometry Functions for Selected Acute Angles. Using the lengths of the sides of the two special right triangles — the 30-60-90 right triangle and the 45-45-90 right triangle — the following exact values for trig functions are found. Using these values in conjunction with reference angles and signs of the functions in the different H-Pre-Calculus Trig Values Worksheet Evaluate each of the following -- exact values only. Do these without using your unit circle. 1. (5)6 sin π 2. 3

All values are rounded to four decimal places. Click the image for the full-sized image or download the PDF version . The downloadable trig table PDF is optimized to fit on a single 8½ x 11″ sheet of paper. Finding the exact values of a trigonometric function. Step 1: Determine the Quadrant the P(x,y) is in. Given that , find the exact values of each of the remaining five trigonometric functions. Step 3: Identify the given values x, y, or r.

Worksheet 4.6 Properties of Trigonometric functions Section 1 Review of Trigonometry This section reviews some of the material covered in Worksheets 2.2, 3.3 and 3.4. The reader should be familiar with the trig ratios, using radians and working with exact values which arise from the following standard triangles. 2 ˇ 4 ˇ 4 1 1 p ˇ 3 ˇ 6 1 p 3 2 Exact Values of the Sine and Cosine Functions in Increments of 3 degrees The sine and cosine values for all angle measurements in multiples of 3 degrees can be represented in terms of square-root radicals, and the four common operations of arithmetic. These values can be determined geometrically using three useful right triangles.

Entire table: shows each trig function evaluated for every degree 1 through 360. Special table: shows each trig function evaluated for special angles, like 30, 45, and 60 degrees. You may also be interested in our Unit Circle page - a way to memorize the special angle values quickly and easily! In pre-calculus, you need to evaluate the six trig functions — sine, cosine, tangent, cosecant, secant, and cotangent — for a single angle on the unit circle. For each angle on the unit circle, three other angles have similar trig function values. The only difference is that the signs of these values are opposite, depending […]

Exact values for trigonometric functions of most commonly used angles Trigonometric functions of any angle θ' in terms of angle θ in quadrant I Trigonometric functions of negative angles Some useful relationships among trigonometric functions Double angle formulas Half angle formulas Angle addition formulas Sum, difference and product of trigonometric functions Graphs of trigonometric functions … 16-09-2018 · Table of exact values trigonometric functions by jamiea06 able trig table pdf the unit circle table of values rama ciceros co trigonometrical ratios table trigonometric standard angles. Whats people lookup in this blog: Values Of Trigonometric Functions Table Pdf; Values Of Trigonometric Functions Table; Trigonometric Functions Table Of Values

19-11-2018 · Visit the post for more. 14 Unit Circle Chart Templates Doc Pdf Free Premium Table of exact values trigonometric functions by jamiea06 able trig table pdf 7 sin cos tan chart templates pdf value of sin cos tan cot at 0 30 45 60 90 trigonometry table 14. If the terminal side of θ passes through the given point, find the simplified, exact values of all six trig functions of θ. THEN, find θ and θ ref if 0360oo<<θ. (a) (−5,3) (b) (−−4, 5) 15. If cotθ is undefined and sec 0θ<, find the exact values of all six trig functions of θ. THEN, find θ and θ ref if 02<<θπ. 16. Solve the