Trigonometry Examples

$\arccos (\cos (\frac{7 π}{6}))$

Step 1

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 third quadrant.

$\arccos (- \cos (\frac{π}{6}))$

Step 2

The exact value of $\cos (\frac{π}{6})$ is $\frac{\sqrt{3}}{2}$ .

$\arccos (- \frac{\sqrt{3}}{2})$

Step 3

The exact value of $\arccos (- \frac{\sqrt{3}}{2})$ is $\frac{5 π}{6}$ .

$\frac{5 π}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5 π}{6}$

Decimal Form:

$2.61799387 \dots$