Trigonometry Examples

$\sin (120) + \sin (60)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$\sin (60) + \sin (60)$

Step 1.2

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

$\frac{\sqrt{3}}{2} + \sin (60)$

Step 1.3

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

$\frac{\sqrt{3}}{2} + \frac{\sqrt{3}}{2}$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{\sqrt{3} + \sqrt{3}}{2}$

Step 2.2

Add $\sqrt{3}$ and $\sqrt{3}$ .

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

Step 2.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.3.1

Cancel the common factor.

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

Step 2.3.2

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

$\sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{3}$

Decimal Form:

$1.73205080 \dots$