Analysis AB



Analysis AB Name: _____________________________________

Unit 2

Trigonometric Functions of Any Angle

1. The point (-2,2) is on the terminal side of a standard position angle [pic]. Determine the exact values of the six trig functions of that angle.

2. In which quadrant is the terminal side of [pic] if [pic] and [pic]?

3. Find the values of the six trigonometric functions of [pic] given:

a) [pic] and [pic] lies in Quadrant II b) [pic] and [pic]

c) [pic] is undefined and [pic]

4. The terminal side of [pic] lies on the line [pic] in Quadrant II. Find the values of the six trigonometric functions of [pic].

5. Evaluate without using a calculator:

a) [pic] b) [pic] c) [pic] d) [pic] e) [pic]

6. Find the reference angle for the given standard position angle [pic].

a) [pic] b) [pic] c) [pic] d) [pic]

7. Evaluate using a calculator. Round to three decimal places.

a) [pic] b) [pic] c) [pic] d) [pic]

8. Write the domain of each function:

a) [pic] b) [pic]

c) [pic] d) [pic]

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