Trigonometry Examples

$\arctan (\frac{\sqrt{3}}{1})$

Step 1

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

$(\arctan (\frac{\sqrt{3}}{1})) \cdot \frac{180 °}{π}$

Step 2

Divide $\sqrt{3}$ by $1$ .

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

Step 3

The exact value of $\arctan (\sqrt{3})$ is $\frac{π}{3}$ .

$\frac{π}{3} \cdot \frac{180}{π}$

Step 4

Cancel the common factor of $π$ .

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Step 4.1

Cancel the common factor.

$\frac{π}{3} \cdot \frac{180}{π}$

Step 4.2

Rewrite the expression.

$\frac{1}{3} \cdot 180$

Step 5

Cancel the common factor of $3$ .

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Step 5.1

Factor $3$ out of $180$ .

$\frac{1}{3} \cdot (3 (60))$

Step 5.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 60)$

Step 5.3

Rewrite the expression.

$60$

Step 6

Convert to a decimal.

$60 °$