# Solve for x sin(x) equals ( square root of three) First, divide two

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

The exact value of is .

The 1st and 2nd quadrants of the sine function are positive. To calculate the second answer, subtract the reference angle from to find the solution in the second quadrant.

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

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

Add.

Multiply by .

Add numerators over the common denominator.

Clarify the numerator.

Put to the left of .

Subtract from .

Evaluate the period of function using .

Replace with in the formula for period.

Find solution to 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 two directions at once.

, for any integer

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