Trigonometry Examples

85 °

$85 °$

Step 1

To convert degrees to radians, multiply by

\frac{π}{180 °}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

85 ° \cdot \frac{π}{180 °}

$85 ° \cdot \frac{π}{180 °}$ radians

Step 2

Cancel the common factor of

5

$5$ .

Tap for more steps...

Step 2.1

Factor

5

$5$ out of

85

$85$ .

5 (17) \cdot \frac{π}{180}

$5 (17) \cdot \frac{π}{180}$ radians

Step 2.2

Factor

5

$5$ out of

180

$180$ .

5 \cdot 17 \cdot \frac{π}{5 \cdot 36}

$5 \cdot 17 \cdot \frac{π}{5 \cdot 36}$ radians

Step 2.3

Cancel the common factor.

$5 \cdot 17 \cdot \frac{π}{5 \cdot 36}$ radians

Step 2.4

Rewrite the expression.

$17 \cdot \frac{π}{36}$ radians

$17 \cdot \frac{π}{36}$ radians

Step 3

Combine

$17$ and

$\frac{π}{36}$ .

$\frac{17 π}{36}$ radians

$85 °$

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