Trigonometry Examples

$\frac{\cos (60) + \sin (30)}{4}$

Step 1

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

$\frac{\frac{1}{2} + \sin (30)}{4}$

Step 2

The exact value of $\sin (30)$ is $\frac{1}{2}$ .

$\frac{\frac{1}{2} + \frac{1}{2}}{4}$

Step 3

Combine the numerators over the common denominator.

$\frac{\frac{1 + 1}{2}}{4}$

Step 4

Add $1$ and $1$ .

$\frac{\frac{2}{2}}{4}$

Step 5

Divide $2$ by $2$ .

$\frac{1}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$