Trigonometry Examples

$4 \sin (\frac{2 π}{3})$

Step 1

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

$4 \sin (\frac{π}{3})$

Step 2

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

$4 \frac{\sqrt{3}}{2}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$2 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{3}$

Decimal Form:

$3.46410161 \dots$