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# Trigonometry Examples

Remove the absolute value term. This creates a on the right side of the inequality because .

Set up the positive portion of the solution.

Move all terms not containing to the right side of the inequality.

Add to both sides of the inequality.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Set up the negative portion of the solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.

Move all terms not containing to the right side of the inequality.

Add to both sides of the inequality.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Set up the intersection.

and

Find the intersection between the sets.

Convert the inequality to interval notation.