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

Rewrite in terms of sines and cosines.

Convert from to .

Rewrite in terms of sines and cosines.

Substitute for .

Factor out of .

Factor out of .

Factor out of .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify .

Simplify the denominator.

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.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Substitute for .

Take the inverse sine of both sides of the equation to extract from inside the sine.

The exact value of is .

The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from to find the solution in the second quadrant.

Subtract from .

The period of the function can be calculated using .

Replace with in the formula for period.

Solve the equation.

The absolute value is the distance between a number and zero. The distance between and is .

Divide by .

The period of the function is so values will repeat every radians in both directions.

, for any integer

Consolidate the answers.

, for any integer

Find All Complex Solutions tan(theta)=-2sin(theta)