Trigonometry Examples

$\tan (30) - \cos (180)$

Step 1

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

$\frac{\sqrt{3}}{3} - \cos (180)$

Step 2

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the second quadrant.

$\frac{\sqrt{3}}{3} - - \cos (0)$

Step 3

The exact value of $\cos (0)$ is $1$ .

$\frac{\sqrt{3}}{3} - (- 1 \cdot 1)$

Step 4

Multiply $- (- 1 \cdot 1)$ .

Tap for more steps...

Step 4.1

Multiply $- 1$ by $1$ .

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

Step 4.2

Multiply $- 1$ by $- 1$ .

$\frac{\sqrt{3}}{3} + 1$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt{3}}{3} + 1$

Decimal Form:

$1.57735026 \dots$