Download 16-2 Practice Name: Period: Assigned Date: Due Date: Instructions

16-2 Practice
Name:
Period:
Assigned Date:
Due Date:
Instructions: On a separate piece of paper complete the following problems. Put your name and period
on both pieces of paper, staple them and turn in.Show your work!!!
1. Use the unit circle and the definitions of the reciprocal trigonometric functions to give the exact
value of each of the following.
(a) cot 150◦
5π
(b) csc
3
(c) cot 30◦
7π
(d) sec
4
2. Given a point P on the terminal side of θ, an angle in standard position. Find the exact values of
the six trigonometric functions.
√
(a) P (− 10, −7)
(b) P (6, 8)
(c) P (−2, −3)
8
3. Find the exact values of the six trigonometric functions of θ, given sec θ = − and the terminal
5
side of theta is in Quadrant III.
6
4. Multiple Choice: Given cot x =
and x < π, what is the value of sin x
11
√
√
6 157
11 157
(a)
(c)
157
157
√
√
6 85
11 85
(b)
(d)
85
85
2
5. Find cot θ, given cos θ = and the terminal side of θ is in Quadrant IV.
7
11
6. Find tan θ, given csc θ =
and the terminal side of θ is in Quadrant II.
6
9
and the terminal side of θ is in Quadrant III.
7. Find sec θ, given cot θ =
10
15
8. Find csc θ, given sec θ =
and the terminal side of θ is in Quadrant I.
8
9. Given cos x = 0.524, find sec x, correct to three decimals places.
10. Given sin x = 0.152, find sec x, correct to three decimals places.
11. Lettan x = cot x and sin x > cos x.
(a) Find the value of the six trigonometric functions of x.
(b) Find the value of x, if 0 < x < 2π.
12. Explain why a point, P (x, y), on the terminal side of an angle in standard position always produces
a sine value less than or equal to 1, even if the point is on a circle with a radius greater that 1.