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# Trigonometry Examples

Interchange the variables.

Rewrite the equation as .

To remove the radical on the left side of the equation, square both sides of the equation.

Simplify each side of the equation.

Simplify the left side of the equation.

Remove parentheses.

Subtract from both sides of the equation.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Rewrite as .

Rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify.

Combine the opposite terms in .

Subtract from .

Add and .

Since , is the inverse of .