PreCalculus Chapter 5 Name: _________________________Practice Test

1. Convert 100 degrees to radians. Express the answer as a multiple of π .

2. Convert 11π6 radians to degrees.

3. Find the exact value of the given expression:

a. sin (210 ° )

b. cos (135 ° )

c. tan (225 ° )

d. sin (−240 ° )

e. cos (810 ° )

f. sin( 7 π6 )g. sin(−28 π3 )h. cos−1 (cos (300 ° ))

i. cos−1(−12 )

j. sec (210 ° )

k. sin (sin−1 (6 ))

l. sin ¿

m. cos2 (20 )+ 1

csc2 (20 )

n.1

cos2 (5 )− sin

2 (5 )cos2 (5 )

o. sin−1(−√32 )

p. tan [sin−1(−1213 )]

4. Given sin (θ )=−513 and cot (θ )>0 , find the remaining 5 trig functions.

5. In which quadrants is the csc (θ )<0?

6. What is the domain of sinθ?

7. What is the range of cosθ?

8. What is the range of secθ?

9. What is the period of sin θ?

10. Find the exact value of the following:

If sin (θ )=0.6 and θ is in radians, find the value of sin (θ )+sin (θ−2π )+sin (θ+2 π )

11. For what numbers x, −2π ≤ x≤2π , does the sin ( x )=−1?

12. Graph y=cos (x ) over [0 ,2π ) . You mush show the coordinates of 4 points on the graph.

13. Prove: 1+cot2 (θ )=csc2(θ)