# Precalculus : Trigonometric Functions

## Example Questions

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### Example Question #16 : Find The Value Of Any Of The Six Trigonometric Functions

Find the value of . Possible Answers:    Correct answer: Explanation:

Since we begin by finding the value of . .

Then, ### Example Question #17 : Find The Value Of Any Of The Six Trigonometric Functions

Determine the value of: Possible Answers:     Correct answer: Explanation:

To determine the value of , simplify cotangent into sine and cosine. ### Example Question #18 : Find The Value Of Any Of The Six Trigonometric Functions

Find the value of , if possible.

Possible Answers:     Correct answer: Explanation:

In order to solve , split up the expression into 2 parts.   ### Example Question #19 : Find The Value Of Any Of The Six Trigonometric Functions

Compute , if possible.

Possible Answers:     Correct answer: Explanation:

Rewrite the expression in terms of cosine. Evaluate the value of , which is in the fourth quadrant. Substitute it back to the simplified expression of . ### Example Question #20 : Find The Value Of Any Of The Six Trigonometric Functions

Determine Possible Answers:    Correct answer: Explanation:

Remember that: ### Example Question #21 : Find The Value Of Any Of The Six Trigonometric Functions

What is the value of ?

Possible Answers:     Correct answer: Explanation:

The sine of an angle corresponds to the y-component of the triangle in the unit circle.  The angle is a special angle.  In the unit circle, the hypotenuse is the radius of the unit circle, which is 1.  Since the angle is , the triangle is an isosceles right triangle, or a 45-45-90.

Use the Pythagorean Theorem to solve for the leg. Both legs will be equal to each other.    Rationalize the denominator. Therefore, .

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