Question

The cartesian co-ordinates of $\left( - 1, - \frac{\pi}{3} \right)$ is-

• A. $\left( - \frac{\sqrt{3}}{2},\frac{1}{2} \right)$
• B. $\left( - \frac{1}{2}, - \frac{\sqrt{3}}{2} \right)$
• C. $\left( - \frac{\sqrt{3}}{2}, - \frac{1}{2} \right)$
• D. $\left( - \frac{1}{2},\frac{\sqrt{3}}{2} \right)$

Answer 1

Answer: (D)

$\left( - \frac{1}{2},\frac{\sqrt{3}}{2} \right)$

Answer 2

$\left( –1,–\frac{\pi}{3} \right)$

x = r cos q and y = r sin q

x = (–1) cos $\left( –\frac{\pi}{3} \right)$

Ž y = (– 1) sin $\left( –\frac{\pi}{3} \right)$

x = (–1) $\left( \frac{1}{2} \right)$ Ž y = (–1) $\left( –\frac{\sqrt{3}}{2} \right)$

$\left( –\frac{1}{2},\frac{\sqrt{3}}{2} \right)$