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# Trigonometry Examples

Interchange the variables.

Rewrite the equation as .

To solve for , rewrite the equation using properties of logarithms.

Solve for

Exponentiation and log are inverse functions.

Add to 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 .

Add and .

Add and .

Since , is the inverse of .