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# Trigonometry Examples

Interchange the variables.

Rewrite the equation as .

Take the root of each side of the to set up the solution for

Remove the perfect root factor under the radical to solve for .

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the to find the first solution.

Add to both sides of the equation.

Next, use the negative value of the to find the second solution.

Add to both sides of the equation.

The complete solution is the result of both the positive and negative portions of the solution.

Replace the with to show the final answer.

Set up the composite result function.

Evaluate by substituting in the value of into .

Remove parentheses.

Pull terms out from under the radical, assuming positive real numbers.

Combine the opposite terms in .

Add and .

Add and .

Since , is the inverse of .