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# Trigonometry Examples

To find the x-intercept, substitute in for and solve for .

Rewrite the equation as .

Add to both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

Use logarithm rules to move out of the exponent.

Apply the distributive property.

Rewrite as .

Solve for .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Exclude the solutions that do not make true.

No solution

No solution

To find the y-intercept, substitute in for and solve for .

Simplify each term.

Subtract from .

Rewrite the expression using the negative exponent rule .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

These are the and intercepts of the equation .

x-intercept:

y-intercept: