Trigonometry Examples

$\cos (60)$

Step 1

The complement of $\cos (60)$ is the angle that when added to $\cos (60)$ forms a right angle ( $90 °$ ).

$90 ° - \cos (60)$

Step 2

The exact value of $\cos (60)$ is $\frac{1}{2}$ .

$90 - \frac{1}{2 °}$

Step 3

To write $90$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$90 \cdot \frac{2}{2} - \frac{1}{2 °}$

Step 4

Combine $90$ and $\frac{2}{2}$ .

$\frac{90 \cdot 2}{2} - \frac{1}{2 °}$

Step 5

Combine the numerators over the common denominator.

$\frac{90 \cdot 2 - 1}{2 °}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $90$ by $2$ .

$\frac{180 - 1}{2 °}$

Step 6.2

Subtract $1$ from $180$ .

$\frac{179}{2 °}$