Trigonometry Examples

$105 °$

Step 1

To convert degrees to radians, multiply by

$\frac{π}{180 °}$ , since a full circle is

$360 °$ or

$2 π$ radians.

$105 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

$15$ .

Tap for more steps...

Step 2.1

Factor

$15$ out of

$105$ .

$15 (7) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

$15$ out of

$180$ .

$15 \cdot 7 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.3

Cancel the common factor.

$15 \cdot 7 \cdot \frac{π}{15 \cdot 12}$ radians

Step 2.4

Rewrite the expression.

$7 \cdot \frac{π}{12}$ radians

$7 \cdot \frac{π}{12}$ radians

Step 3

Combine

$7$ and

$\frac{π}{12}$ .

$\frac{7 π}{12}$ radians

$105 °$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$