Calculus Examples

$\arctan (\frac{4}{6})$

Step 1

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

$(\arctan (\frac{4}{6})) \cdot \frac{180 °}{π}$

Step 2

Cancel the common factor of $4$ and $6$ .

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Step 2.1

Factor $2$ out of $4$ .

$\arctan (\frac{2 (2)}{6}) \cdot \frac{180}{π}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6$ .

$\arctan (\frac{2 \cdot 2}{2 \cdot 3}) \cdot \frac{180}{π}$

Step 2.2.2

Cancel the common factor.

$\arctan (\frac{2 \cdot 2}{2 \cdot 3}) \cdot \frac{180}{π}$

Step 2.2.3

Rewrite the expression.

$\arctan (\frac{2}{3}) \cdot \frac{180}{π}$

Step 3

Evaluate $\arctan (\frac{2}{3})$ .

$0.5880026 \cdot \frac{180}{π}$

Step 4

Multiply $0.5880026 \frac{180}{π}$ .

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Step 4.1

Combine $0.5880026$ and $\frac{180}{π}$ .

$\frac{0.5880026 \cdot 180}{π}$

Step 4.2

Multiply $0.5880026$ by $180$ .

$\frac{105.84046863}{π}$

Step 5

Replace $π$ with an approximation.

$\frac{105.84046863}{3.14159265}$

Step 6

Divide $105.84046863$ by $3.14159265$ .

$33.69006752$

Step 7

Convert to a decimal.

$33.69006752 °$