Trigonometry Examples

$2 \sin (60) \cos (60)$

Step 1

Apply the sine double-angle identity.

$\sin (2 \cdot 60)$

Step 2

Multiply $2$ by $60$ .

$\sin (120)$

Step 3

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

$\sin (60)$

Step 4

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

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.86602540 \dots$