The cartesian form of the polar equation $ heta= an ^{-1} 2$ is

Question

The cartesian form of the polar equation $	heta=	an ^{-1} 2$ is

Aicharya · Accepted Answer

Given that $\begin{aligned} & 	heta=	an ^{-1} 2 \ & \Rightarrow \quad 	an 	heta=2 \ & 	ext { We know, } x=r \cos 	heta, y=r \sin 	heta \ & \Rightarrow \quad 	an 	heta=\frac{y}{x} \ & 	herefore \quad y=2 x \ & \end{aligned}$

The cartesian form of the polar equation $\theta=\tan ^{-1} 2$ is

Solution