# Solve for ? sin(two x) equals minus one First, divide two

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

The exact value of is .

Divide each term in by .

The common factor should be canceled of .

Cancel the common factor.

Divide by .

First, multiply .

Multiply and .

First, multiply by .

The sine function is negative in the third and fourth quadrants. To calculate the second answer, subtract the solution from , to find a reference angle. Next, add this reference angle to to find the solution in the third quadrant.

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 .

Add.

Multiply by .

Add numerators over the common 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.

Add and .

Multiply by .

Add and .

Divide each term by and simplify.

Divide each term in by .

The common factor should be canceled.

Cancel the common factor.

Divide by .

Multiply .

Multiply and .

Multiply by .

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 .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Add to to find the positive angle.

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.

First, multiply by .

Combine the numerators over the common denominator.

Clarify the numerator.

Move to the left of .

Subtract from .

Write the new angles.

The period of the function is so values will repeat every radians in two directions at once.

, for any integer

Do you need help with solving Solve for ? sin(2x)=-1/2? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.