Trigonometry Examples

arctan (\frac{5.6}{9.7})

$\arctan (\frac{5.6}{9.7})$

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.

(arctan (\frac{5.6}{9.7})) \cdot \frac{180 °}{π}

$(\arctan (\frac{5.6}{9.7})) \cdot \frac{180 °}{π}$

Step 2

Divide

5.6

$5.6$ by

9.7

$9.7$ .

arctan (0.57731958) \cdot \frac{180}{π}

$\arctan (0.57731958) \cdot \frac{180}{π}$

Step 3

Evaluate

arctan (0.57731958)

$\arctan (0.57731958)$ .

\frac{π}{6} \cdot \frac{180}{π}

$\frac{π}{6} \cdot \frac{180}{π}$

Step 4

Cancel the common factor of

π

$π$ .

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Step 4.1

Cancel the common factor.

$\frac{π}{6} \cdot \frac{180}{π}$

Step 4.2

Rewrite the expression.

$\frac{1}{6} \cdot 180$

$\frac{1}{6} \cdot 180$

Step 5

Cancel the common factor of

$6$ .

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Step 5.1

Factor

$6$ out of

$180$ .

$\frac{1}{6} \cdot (6 (30))$

Step 5.2

Cancel the common factor.

$\frac{1}{6} \cdot (6 \cdot 30)$

Step 5.3

Rewrite the expression.

$30$

$30$

Step 6

Convert to a decimal.

$30 °$

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