Question

The cartesian co-ordinates of a point $\left( 2,\frac{\pi}{3} \right)$ is-

• A. ($\sqrt{3}$, 1)
• B. (–$\sqrt{3}$, 1)
• C. (1, $\sqrt{3}$)
• D. (1, – $\sqrt{3}$)

Answer 1

Answer: (C)

(1, $\sqrt{3}$)

Answer 2

$\left( 2,\frac{\pi}{3} \right)$

x = r cos q and y = r sin q

Ž x = 2 cos $\frac{\pi}{3}$ Ž y = 2 sin $\left( \frac{\pi}{3} \right)$

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

Ž (1, $\sqrt{3}$)