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# Trigonometry Examples

Step 1

To convert degrees to radians, multiply by , since a full circle is or radians.

Step 2

Split into two angles where the values of the six trigonometric functions are known.

radians

Separate negation.

radians

Apply the difference of angles identity .

radians

The exact value of is .

radians

The exact value of is .

radians

The exact value of is .

radians

The exact value of is .

radians

Simplify .

Simplify each term.

Multiply .

Multiply by .

radians

Combine using the product rule for radicals.

radians

Multiply by .

radians

Multiply by .

radians

radians

Multiply .

Multiply by .

radians

Multiply by .

radians

radians

radians

Combine the numerators over the common denominator.

radians

radians

radians

Step 3

Multiply by .

radians

Multiply by .

radians

radians