Subtract from both sides of the equation.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Dividing two negative values results in a positive value.

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

Evaluate .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from to find the solution in the fourth quadrant.

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 .

The period of the function can be calculated using .

Replace with in the formula for period.

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

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

, for any integer

Consolidate and to .

, for any integer

Solve for x -3tan(2x)+1=0