Precalculus Examples

$6 \sin (120)$

Step 1

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

$6 \sin (60)$

Step 2

The exact value of $\sin (60)$ is $\frac{\sqrt{3}}{2}$ .

$6 \frac{\sqrt{3}}{2}$

Step 3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.1

Factor $2$ out of $6$ .

$2 (3) \frac{\sqrt{3}}{2}$

Step 3.2

Cancel the common factor.

$2 \cdot 3 \frac{\sqrt{3}}{2}$

Step 3.3

Rewrite the expression.

$3 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{3}$

Decimal Form:

$5.19615242 \dots$