Basic Math Examples

$\sin (120) - \cos (60)$

Step 1

Simplify each term.

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Step 1.1

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

$\sin (60) - \cos (60)$

Step 1.2

The exact value of $\sin (60)$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2} - \cos (60)$

Step 1.3

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

$\frac{\sqrt{3}}{2} - \frac{1}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{\sqrt{3} - 1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3} - 1}{2}$

Decimal Form:

$0.36602540 \dots$