Question

The cartesian co-ordinates of $\left( 2,\frac{3\pi}{4} \right)$ is-

• A. ($\sqrt{2}$, $\sqrt{2}$)
• B. ($\sqrt{2}$, –$\sqrt{2}$)
• C. (–$\sqrt{2}$, $\sqrt{2}$)
• D. ($\sqrt{2}$, –$\sqrt{2}$)

Answer 1

Answer: (C)

(–$\sqrt{2}$, $\sqrt{2}$)

Answer 2

$\left( 2,\frac{3\pi}{4} \right)$

x = r cos q and y = r sin q

x = 2 cos $\frac{3\pi}{4}$ Ž y = 2 sin $\frac{3\pi}{4}$

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

(–$\sqrt{2}$,$\sqrt{2}$)