Trigonometry Examples

\frac{1}{4}

$\frac{1}{4}$

Step 1

Convert the radian measure to degrees.

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Step 1.1

To convert radians to degrees, multiply by

\frac{180}{π}

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

360 °

$360 °$ or

2 π

$2 π$ radians.

(\frac{1}{4}) \cdot \frac{180 °}{π}

$(\frac{1}{4}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of

4

$4$ .

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Step 1.2.1

Factor

4

$4$ out of

180

$180$ .

\frac{1}{4} \cdot \frac{4 (45)}{π}

$\frac{1}{4} \cdot \frac{4 (45)}{π}$

Step 1.2.2

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot 45}{π}$

Step 1.2.3

Rewrite the expression.

$\frac{45}{π}$

$\frac{45}{π}$

Step 1.3

$π$ is approximately equal to

$3.14159265$ .

$\frac{45}{3.14159265}$

Step 1.4

Convert to a decimal.

$14.32394487 °$

$14.32394487 °$

Step 2

The angle is in the first quadrant.

Quadrant

$1$

Step 3

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