Calculus Examples

$\tan^{-1} (\frac{- 1}{3})$

Step 1

To convert radians to degrees, multiply by $\frac{180}{π}$ , since a full circle is $360 °$ or $2 π$ radians.

$(\tan^{-1} (\frac{- 1}{3})) \cdot \frac{180 °}{π}$

Step 2

Move the negative in front of the fraction.

$\tan^{-1} (- \frac{1}{3}) \cdot \frac{180}{π}$

Step 3

Evaluate $\tan^{-1} (- \frac{1}{3})$ .

$- 0.32175055 \cdot \frac{180}{π}$

Step 4

Multiply $- 0.32175055 \frac{180}{π}$ .

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Step 4.1

Combine $- 0.32175055$ and $\frac{180}{π}$ .

$\frac{- 0.32175055 \cdot 180}{π}$

Step 4.2

Multiply $- 0.32175055$ by $180$ .

$\frac{- 57.91509979}{π}$

Step 5

Move the negative in front of the fraction.

$- \frac{57.91509979}{π}$

Step 6

Replace $π$ with an approximation.

$- \frac{57.91509979}{3.14159265}$

Step 7

Divide $57.91509979$ by $3.14159265$ .

$- 1 \cdot 18.43494882$

Step 8

Multiply $- 1$ by $18.43494882$ .

$- 18.43494882$

Step 9

Convert to a decimal.

$- 18.43494882 °$