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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)