### All Precalculus Resources

## Example Questions

### Example Question #1 : Find The Value Of Any Of The Six Trigonometric Functions

Solve the following:

**Possible Answers:**

**Correct answer:**

Rewrite in terms of sine and cosine functions.

Since these angles are special angles from the unit circle, the values of each term can be determined from the x and y coordinate points at the specified angle.

Solve each term and simplify the expression.

### Example Question #2 : Find The Value Of Any Of The Six Trigonometric Functions

Find the value of .

**Possible Answers:**

**Correct answer:**

Using trigonometric relationships, one can set up the equation

.

Solving for ,

Thus, the answer is found to be 29.

### Example Question #3 : Find The Value Of Any Of The Six Trigonometric Functions

Find the value of .

**Possible Answers:**

**Correct answer:**

Using trigonometric relationships, one can set up the equation

.

Plugging in the values given in the picture we get the equation,

.

Solving for ,

.

Thus, the answer is found to be 106.

### Example Question #4 : Find The Value Of Any Of The Six Trigonometric Functions

Find all of the angles that satistfy the following equation:

**Possible Answers:**

OR

**Correct answer:**

OR

The values of that fit this equation would be:

and

because these angles are in QI and QII where sin is positive and where

.

This is why the answer

is incorrect, because it includes inputs that provide negative values such as:

Thus the answer would be each multiple of and , which would provide the following equations:

OR