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# Trigonometry Examples

Interchange the variables.

Rewrite the equation as .

Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .

Solve for

Rewrite the equation as .

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 .

Exponentiation and log are inverse functions.

Combine the opposite terms in .

Subtract from .

Add and .

Since , is the inverse of .