Trigonometry Examples

$\frac{7 π}{8}$

Step 1

To convert radians to degrees, multiply by

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

$360 °$ or

$2 π$ radians.

$(\frac{7 π}{8}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

$π$ .

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Step 2.1

Factor

$π$ out of

$7 π$ .

$\frac{π \cdot 7}{8} \cdot \frac{180}{π}$

Step 2.2

Cancel the common factor.

$\frac{π \cdot 7}{8} \cdot \frac{180}{π}$

Step 2.3

Rewrite the expression.

$\frac{7}{8} \cdot 180$

$\frac{7}{8} \cdot 180$

Step 3

Cancel the common factor of

$4$ .

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Step 3.1

Factor

$4$ out of

$8$ .

$\frac{7}{4 (2)} \cdot 180$

Step 3.2

Factor

$4$ out of

$180$ .

$\frac{7}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.3

Cancel the common factor.

$\frac{7}{4 \cdot 2} \cdot (4 \cdot 45)$

Step 3.4

Rewrite the expression.

$\frac{7}{2} \cdot 45$

$\frac{7}{2} \cdot 45$

Step 4

Combine

$\frac{7}{2}$ and

$45$ .

$\frac{7 \cdot 45}{2}$

Step 5

Multiply

$7$ by

$45$ .

$\frac{315}{2}$

Step 6

Convert to a decimal.

$157.5 °$

Enter a problem...

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