Trigonometry Examples

$\arccos (\frac{\sqrt{3}}{2})$

Step 1

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

Step 2

The exact value of $\arccos (\frac{\sqrt{3}}{2})$ is $\frac{π}{6}$ .

$\frac{π}{6} \cdot \frac{π}{180}$ radians

Step 3

Multiply $\frac{π}{6} \cdot \frac{π}{180}$ .

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Step 3.1

Multiply $\frac{π}{6}$ by $\frac{π}{180}$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 3.2

Raise $π$ to the power of $1$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 3.3

Raise $π$ to the power of $1$ .

$\frac{π π}{6 \cdot 180}$ radians

Step 3.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{π^{1 + 1}}{6 \cdot 180}$ radians

Step 3.5

Add $1$ and $1$ .

$\frac{π^{2}}{6 \cdot 180}$ radians

Step 3.6

Multiply $6$ by $180$ .

$\frac{π^{2}}{1080}$ radians