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Name:
Date:
My Achievement Goal for this chapter isโฆ (Circle one)
A+ A B C D
This Assignment is:
Good to Go Needs Corrections
Please answer all questions on this sheet and remember to show all your work!
- For each of the given angles, answer the following:
a. Find one positive and one negative coterminal angles of 300ยฐ in degrees.
b. Find one positive and one negative coterminal angles of
5 ๐
6
in radians.
- Find the length of an arc of a circle with radius 12 cm if the arc subtends a central angle of 60ยฐ.
- Using special triangles, find the exact values.
a. sec
๐
4
b. csc
7 ๐
6
c. tan ๐
d. sin
4 ๐
3
- Given that cos ๐ =
1
โ 2
, and โ180ยฐ โค ๐ โค 0ยฐ, determine possible coordinates for point ๐ on the
terminal arm of ๐.
- If cos ๐ has a negative value and tan ๐ has a positive value, find ๐ and ๐ such that
- Let ๐
= โ 3 sin [
2 ๐
15
] + 1.
a. State the amplitude, vertical displacement, period, and the phase shift.
b. State the formula for the maximum and minimum value of ๐(๐ฅ).
c. Find the maximum and minimum value of ๐
- The graphs of two cosine functions are shown below:
If graph B was obtained from graph A, what is the equation of graph B? (Hint: You may define
graph A= ๐(๐ฅ) and graph B= ๐
- A Ferris wheel has a radius of 30 m. Its center is at 32 m above the ground. It rotates once every
15 s. Suppose you get on the bottom at ๐ก = 0. Write an equation that expresses your height as a
function of elapsed time.
a. Sketch a graph of the height as you ride the wheel.
b. Write an equation using sine and another equation using cosine.
