Trigonometry Examples

$\frac{10 \sqrt{3}}{\sin (60)}$

Step 1

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

$\frac{10 \sqrt{3}}{\frac{\sqrt{3}}{2}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$10 \sqrt{3} \frac{2}{\sqrt{3}}$

Step 3

Cancel the common factor of $\sqrt{3}$ .

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Step 3.1

Factor $\sqrt{3}$ out of $10 \sqrt{3}$ .

$\sqrt{3} \cdot 10 \frac{2}{\sqrt{3}}$

Step 3.2

Cancel the common factor.

$\sqrt{3} \cdot 10 \frac{2}{\sqrt{3}}$

Step 3.3

Rewrite the expression.

$10 \cdot 2$

Step 4

Multiply $10$ by $2$ .

$20$