What are the Cartesian coordinates of (2, pi | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The polar coordinates are given as $(r, 	heta) = (2, \pi /4)$.To convert polar coordinates $(r, 	heta)$ to Cartesian coordinates $(x, y)$,we use

Vedclass · Accepted Answer

$(\sqrt{2}, \sqrt{2})$

Vedclass · Answer

(C) The polar coordinates are given as $(r, 	heta) = (2, \pi /4)$.To convert polar coordinates $(r, 	heta)$ to Cartesian coordinates $(x, y)$,we use the formulas:$x = r \cos 	heta$$y = r \sin 	heta$Substituting the given values:$x = 2 \cos(\pi /4) = 2 	imes (1 / \sqrt{2}) = \sqrt{2}$$y = 2 \sin(\pi /4) = 2 	imes (1 / \sqrt{2}) = \sqrt{2}$Thus,the Cartesian coordinates are $(\sqrt{2}, \sqrt{2})$.

What are the Cartesian coordinates of $(2, \pi /4)$?

Similar Questions

In what ratio does the $y$-axis divide the line segment joining the points $(-3, -4)$ and $(1, -2)$?

Write the equations for the $x$-axis and $y$-axis.

$P$ and $Q$ are points on the line joining $A,(-2, 5)$ and $B,(3, 1)$ such that $AP = PQ = QB$. Then the mid-point of $PQ$ is

If the line segment joining the points $A(a, b)$ and $B(c, d)$ subtends an angle $\theta$ at the origin,then $\cos \theta$ is equal to

Find the distance between $P(x_{1}, y_{1})$ and $Q(x_{2}, y_{2})$ when $PQ$ is parallel to the $y$-axis.

Vedclass Test Series

Exam Paper Generator

Online Exam Module