Trigonometry Examples

$\frac{\sin (\frac{1}{2})}{\cos (\frac{\sqrt{3}}{2})}$

Step 1

Rewrite $\frac{\sin (\frac{1}{2})}{\cos (\frac{\sqrt{3}}{2})}$ as a product.

$\sin (\frac{1}{2}) \frac{1}{\cos (\frac{\sqrt{3}}{2})}$

Step 2

Write $\sin (\frac{1}{2})$ as a fraction with denominator $1$ .

$\frac{\sin (\frac{1}{2})}{1} \cdot \frac{1}{\cos (\frac{\sqrt{3}}{2})}$

Step 3

Simplify.

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Step 3.1

Divide $\sin (\frac{1}{2})$ by $1$ .

$\sin (\frac{1}{2}) \frac{1}{\cos (\frac{\sqrt{3}}{2})}$

Step 3.2

Convert from $\frac{1}{\cos (\frac{\sqrt{3}}{2})}$ to $\sec (\frac{\sqrt{3}}{2})$ .

$\sin (\frac{1}{2}) \sec (\frac{\sqrt{3}}{2})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sin (\frac{1}{2}) \sec (\frac{\sqrt{3}}{2})$

Decimal Form:

$0.74001485 \dots$