sec ( 1) sec 3 2 cos sin 2

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TRIGONOMETRY Chapter 6 Test Prep Day #1 Review

NAME: _____________________________________________________ Date: _____________

Trigonometry Chapter 6 Practice Test: If you were asked to take the Chapter 6 test now…what would you know, what would you not know? The following are TYPES of questions that COULD be asked on the

Chapter 6 Test…are you going to be prepared?

Directions: Find the exact radian measure of x. Do not use a calculator.

 

_______ 1. y = arccos(3 /2)

 

 

 

  _______ 2. y = arcsin(3 /2)

_______ 3. y = arccos(1)

_______ 4. y = arctan(-1)

 

 

 

 

_______ 5. y = sec ( 1)

 

_______ 6. y = arccsc(2 )

 

Directions: Find the exact real number value of each. Do not use a calculator.

_________ 7. cot

 sec  1

5

3

_________ 8.

 cos sin

 1

2

2

 

 

_________ 9. cot

 cos

 1

1

 

_________ 10. tan( sec

 1

(-3))

TRIGONOMETRY

_______ 11.

 sin 2arccos

Chapter 6 Test Prep Day #1

1

5

Sum & Difference Identities

Review

    cos A cos B – sin A sin B

   

_______ 12.

 cos sin

 1

3

 

 cos  1

Double Angle Identities

   cos

2 x  sin

2 x  

   2cos

2 x  1 

    sin

2 x

Directions: Find all of the solutions over the indicated intervals. Find the exact solutions if possible. If not, then round your answer to two decimal places.

13. 2 cos

2 x   1 

0, 2  

13. ____________________

TRIGONOMETRY Chapter 6 Test Prep Day #1

14. 2sin 3 x  3  0

 0, 2  

15. cos 2 x  4cos x   0 [0,360 )

16. 2sin

2 x  3sin x   0  0, 2  

14. ____________________

15. ____________________

16. ____________________

Review

TRIGONOMETRY Chapter 6 Test Prep Day #1

17. 4 y  2sin x Solve for x in terms of y. (NO CALCULATOR)

17. ____________________

_____________ 18. cos  1 x  sin  1

2

7

__________ 19.  1

1

2

 sin  1 x

__________ 20 .

4

3 tan  1 x

2

 π

Review

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