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# Trigonometry Examples

Multiply both sides of the equation by .

Combine and .

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Simplify .

Combine and .

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Move to the left side of the equation by subtracting it from both sides.

Rewrite as .

Since both terms are perfect cubes, factor using the difference of cubes formula, where and .

Simplify.

Move to the left of .

Raise to the power of .

Set the factor equal to .

Add to both sides of the equation.

Set the factor equal to .

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify.

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Subtract from .

Rewrite as .

Rewrite as .

Rewrite as .

Rewrite as .

Factor out of .

Rewrite as .

Pull terms out from under the radical.

Move to the left of .

Multiply by .

Factor out of .

Multiply by .

Multiply by .

The final answer is the combination of both solutions.

The solution is the result of and .