Trigonometry Examples

- \frac{3 π}{4}

$- \frac{3 π}{4}$

Step 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{3 π}{4}) \cdot \frac{180 °}{π}

$(- \frac{3 π}{4}) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of

π

$π$ .

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Step 2.1

Move the leading negative in

- \frac{3 π}{4}

$- \frac{3 π}{4}$ into the numerator.

\frac{- 3 π}{4} \cdot \frac{180}{π}

$\frac{- 3 π}{4} \cdot \frac{180}{π}$

Step 2.2

Factor

π

$π$ out of

- 3 π

$- 3 π$ .

\frac{π \cdot - 3}{4} \cdot \frac{180}{π}

$\frac{π \cdot - 3}{4} \cdot \frac{180}{π}$

Step 2.3

Cancel the common factor.

$\frac{π \cdot - 3}{4} \cdot \frac{180}{π}$

Step 2.4

Rewrite the expression.

$\frac{- 3}{4} \cdot 180$

$\frac{- 3}{4} \cdot 180$

Step 3

Cancel the common factor of

$4$ .

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Step 3.1

Factor

$4$ out of

$180$ .

$\frac{- 3}{4} \cdot (4 (45))$

Step 3.2

Cancel the common factor.

$\frac{- 3}{4} \cdot (4 \cdot 45)$

Step 3.3

Rewrite the expression.

$- 3 \cdot 45$

$- 3 \cdot 45$

Step 4

Multiply

$- 3$ by

$45$ .

$- 135$

Step 5

Convert to a decimal.

$- 135 °$

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