mac1147 test (SHOW WORK) (DUE TODAY)

Exam #4 MAC1147

Name___________________________________

Solve the problem. 1) For what numbers θ is f(θ) = tan θ not defined? 1)

2) What is the range of the cosine function? 2)

3) What is the range of the tangent function? 3)

4) What is the domain of the cosine function? 4)

Use the fact that the trigonometric functions are periodic to find the exact value of the expression. Do not use a calculator.

5) sin 405° 5)

6) cos 14π 3

6)

Use the even-odd properties to find the exact value of the expression. Do not use a calculator. 7) sin (-30°) 7)

8) tan (-π) 8)

9) cos - π 4

9)

Graph the function. Show at least one period.

10) y = 4 cos -3x + π 2

10)

11) y = -3 sin 5x + π 2

11)

Graph the function. 12) y = 4 tan (2x) 12)

Use transformations to graph the function. 13) y = sin (x + π) 13)

14) y = -4 cos x 14)

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