Trigonometry Examples

$\sin (30) = \frac{x}{2 x}$

Step 1

Rewrite the equation as $\frac{x}{2 x} = \sin (30)$ .

$\frac{x}{2 x} = \sin (30)$

Step 2

Factor each term.

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Step 2.1

Reduce the expression $\frac{x}{2 x}$ by cancelling the common factors.

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Step 2.1.1

Cancel the common factor.

$\frac{x}{2 x} = \sin (30)$

Step 2.1.2

Rewrite the expression.

$\frac{1}{2} = \sin (30)$

Step 2.2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{1}{2} = \frac{1}{2}$

Step 3

Since $\frac{1}{2} = \frac{1}{2}$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$