Trigonometry Examples

\frac{π}{4}

$\frac{π}{4}$

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{π}{4}) \cdot \frac{180 °}{π}

$(\frac{π}{4}) \cdot \frac{180 °}{π}$

Step 1.2

Cancel the common factor of

π

$π$ .

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Step 1.2.1

Cancel the common factor.

$\frac{π}{4} \cdot \frac{180}{π}$

Step 1.2.2

Rewrite the expression.

$\frac{1}{4} \cdot 180$

$\frac{1}{4} \cdot 180$

Step 1.3

Cancel the common factor of

$4$ .

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Step 1.3.1

Factor

$4$ out of

$180$ .

$\frac{1}{4} \cdot (4 (45))$

Step 1.3.2

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot 45)$

Step 1.3.3

Rewrite the expression.

$45$

$45$

Step 1.4

Convert to a decimal.

$45 °$

$45 °$

Step 2

The angle is in the first quadrant.

Quadrant

$1$

Step 3

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