Trigonometry Examples

$\frac{\sin (150)}{15}$

Step 1

Simplify the numerator.

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\frac{\sin (30)}{15}$

Step 1.2

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

$\frac{\frac{1}{2}}{15}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{2} \cdot \frac{1}{15}$

Step 3

Multiply $\frac{1}{2} \cdot \frac{1}{15}$ .

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Step 3.1

Multiply $\frac{1}{2}$ by $\frac{1}{15}$ .

$\frac{1}{2 \cdot 15}$

Step 3.2

Multiply $2$ by $15$ .

$\frac{1}{30}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{30}$

Decimal Form:

$0.0\overline{3}$