Question

Find the degree measure of $\left(\frac{\pi}{9}\right)^{c}$ and $\left(-\frac{\pi}{3}\right)^{c}$ respectively.

• A. $20^{\circ}$, $-60^{\circ}$
• B. $30^{\circ}$, $60^{\circ}$
• C. $20^{\circ}$, $40^{\circ}$
• D. $40^{\circ}$, $50^{\circ}$

Answer 1

Answer: (A)

(i) $\left(\frac{\pi}{9}\right)^{c}=\left(\frac{180}{\pi}\times\frac{\pi}{9}\right)^{\circ}$
$=\left(\frac{180}{9}\right)^{\circ}=20^{\circ}$
(ii) $\left(-\frac{\pi}{3}\right)^{c}=\left(\frac{180}{\pi}\times\left(\frac{\pi}{3}\right)\right)^{\circ}$
$=-60^{\circ}$.