Trigonometry Examples

$\sin (2 x) = \frac{- \sqrt{3}}{2}$

Step 1

Subtract $\frac{- \sqrt{3}}{2}$ from both sides of the equation.

$\sin (2 x) - \frac{- \sqrt{3}}{2} = 0$

Step 2

Simplify each term.

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Step 2.1

Move the negative in front of the fraction.

$\sin (2 x) - - \frac{\sqrt{3}}{2} = 0$

Step 2.2

Multiply $- - \frac{\sqrt{3}}{2}$ .

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Step 2.2.1

Multiply $- 1$ by $- 1$ .

$\sin (2 x) + 1 \frac{\sqrt{3}}{2} = 0$

Step 2.2.2

Multiply $\frac{\sqrt{3}}{2}$ by $1$ .

$\sin (2 x) + \frac{\sqrt{3}}{2} = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.