Download Pre-Calculus B Chapter 6 Review Non

Pre-Calculus B
Chapter 6 Review
Non-Calculator
Name _____________________________
Draw each angle in standard position.
ଶ଺஠
1.
2. -920°
଻
Convert the angle from degrees to radians.
3. 320°
Convert the angle from radians to degrees.
ଵଵ஠
4.
ଶ଴
Use the following diagram and formulas to answer #5 and #6.
S=rθ
5. Find the length, s.
A=
ଵ 2
r
ଶ
θ
30°
8 in
s
6. Find the area of the sector intercepted by
30°.
Find the exact value of the expression.
ଵହ஠
7. sin 7π
8. tan
9. cos 12π
ଶ
10. csc
ଶଷ஠
ିଵଷ஠
11. sec ቀ
଺
13. 5 cos 60° – 5 sin
ିଽ஠
ସ
ସ
ቁ
14. 6 cot
12. cot (780°)
ସ஠
ଷ
– 4 cos
଻஠
଺
A point on the terminal side of θ in standard position is given. Find the exact value of
each of the six trigonometric functions of θ.
15. (2, -1)
sin θ = _______
csc θ = ________
cos θ = _______
sec θ = ________
tan θ = _______
cot θ = ________
Find the exact value of the remaining trigonometric functions of θ.
ହ
16. tan θ = , sin θ < 0
ସ
sin θ = _______
cos θ = _______
csc θ = ________
sec θ = ________
cot θ = ________
* State the amplitude and period.
* Sketch the graph of the function. Include two full periods.
17. f(x) = sin (3x)
ଵ
18. f(x) = 3 cos ቀ xቁ
ଶ
19. f(x) = cos (2x) – 1
20. f(x) = 2 sin (x) – 1
஠
21. f(x) = sin ቀx − ቁ
ଶ