Math 142 Hand-in Homework #2
Name:
Due Tuesday July 12th
Show all work. Correct answers without justification may not get credit.
1. Find an angle θ that satisfies each of the following expressions:
(a) cos θ = 1
(b) csc θ = 2
(c) tan θ =
√
3
Hint: Look at the unit circle we have been using in class.
2. If f (x) = sin x and f (a) =
1
find the exact value of: f (−a) + f (a + 2π) + f (a − 4π)
3
3. Graph each function below. Be sure to label key points and include at least two cycles.
1
(a) y = 2 sin
x
2
(b) 2 − 4 cos(3x)