Trigonometry Examples

$3 \sin (45) + 4 \tan (30)$

Step 1

The exact value of $\sin (45)$ is $\frac{\sqrt{2}}{2}$ .

$3 \frac{\sqrt{2}}{2} + 4 \tan (30)$

Step 2

Combine $3$ and $\frac{\sqrt{2}}{2}$ .

$\frac{3 \sqrt{2}}{2} + 4 \tan (30)$

Step 3

The exact value of $\tan (30)$ is $\frac{\sqrt{3}}{3}$ .

$\frac{3 \sqrt{2}}{2} + 4 \frac{\sqrt{3}}{3}$

Step 4

Combine $4$ and $\frac{\sqrt{3}}{3}$ .

$\frac{3 \sqrt{2}}{2} + \frac{4 \sqrt{3}}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \sqrt{2}}{2} + \frac{4 \sqrt{3}}{3}$

Decimal Form:

$4.43072142 \dots$