Trigonometry Examples

$\sin (30)$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\sin (30)) \cdot \frac{180 °}{π}$

Step 2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{1}{2} \cdot \frac{180}{π}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $180$ .

$\frac{1}{2} \cdot \frac{2 (90)}{π}$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot \frac{2 \cdot 90}{π}$

Step 3.3

Rewrite the expression.

$\frac{90}{π}$

Step 4

$π$ is approximately equal to $3.14159265$ .

$\frac{90}{3.14159265}$

Step 5

Convert to a decimal.

$28.64788975 °$