Practice Problems



Pre-Calculus/Trig 3 Name __________________________

Practice with Trigonometry

Solving Problems using your calculator:

Be sure to check the mode.

1. Sin 30[pic]= 4. Csc 3 =

2. Cot [pic] 5. Sec 12[pic] =

3. Tan 13[pic] = 6. Cos [pic]

1. Find the exact values of the six trig functions of [pic] in standard position at the point (3, 4).

a) Use the Pythagorean theorem to find the radius

b) Use to find the values of the six trig functions.

2. Find the exact values of the six trig functions in standard position at the point (-5, 12).

3. If cos[pic] = [pic] and [pic] lies in quadrant I, find the exact values of the six trig functions.

4. If tan [pic] = [pic]and [pic] lies in quadrant III, find the exact values of the six trig functions.

Generalizations of the Unit Circle: Where is each function positive and negative?

Find all the values of [pic] in both degrees and radians given the following information. [pic].

5. sin [pic] = [pic] 6. cot [pic] = -1

7. csc [pic] = 1 8. cos [pic] = [pic]

Solve for the missing sides, using the information provided below.

9. 10. [pic] = 45o, y (a leg) = 10

11. Find the exact values of the six trig functions in standard position at the point (8,15).

12. Find the exact values of the six trig functions in standard position at the point (-3, -4).

13. If cos [pic] = .5 and [pic] lies in quadrant IV, find the exact values of the six trig functions.

14. If sin[pic] = [pic] and [pic] lies in quadrant II, find the exact values of the six trig functions.

Find the values of [pic] in radians given the following information.

15. cos [pic] = [pic] 16. tan[pic] = 1

17. [pic] 18. [pic]

Solve for the missing sides, using the information provided below.

19. 20. [pic] = 60o, r = 16

-----------------------

(3,4)

S

o

o

h

h

a

a

C

T

22

30o

14

30o

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