### All High School Math Resources

## Example Questions

### Example Question #2 : Using Pythagorean Identities

Simplify:

**Possible Answers:**

This is the most simplified version.

**Correct answer:**

Explanation:

Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.

The two identities used in this problem are and .

Substitute and solve.

### Example Question #1 : Trigonometric Identities

Factor and simplify .

**Possible Answers:**

This is already it's most reduced form.

**Correct answer:**

Explanation:

To reduce , factor the numerator:

Notice that we can cancel out a .

This leaves us with .

### Example Question #1 : Trigonometric Identities

Simplify .

**Possible Answers:**

**Correct answer:**

Explanation:

To simplify , break them into their SOHCAHTOA parts:

.

Notice that the opposite's cancel out, leaving .

### Example Question #1 : Using Sum And Product Identities

Simplify .

**Possible Answers:**

This is the most simplified version.

**Correct answer:**

Explanation:

Break down into SOHCAHTOA to solve:

and .

Therefore, . Note that the opposite's cancel out, leaving , which is the same as .

### Example Question #1851 : High School Math

**Possible Answers:**

**Correct answer:**

Explanation:

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### All High School Math Resources

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