Question

what are the rectangular coordinates of the polar coordinates (2√2, -π/12)? Enter your answer in the box. Enter values rounded to the nearest hundredth.

Answer 1

To convert polar coordinates (r, θ) into rectangular coordinates (x, y) we need to use the next formulas:

x = r*cos(θ)

y = r*sin(θ)

Substituting with r = 2√2 and θ = -π/12, we get:

$\begin{gathered} x=2\sqrt[]{2}\cdot\cos (-\frac{\pi}{12}) \\ x=2.73 \\ y=2\sqrt[]{2}\cdot\sin (-\frac{\pi}{12}) \\ y=0.73 \end{gathered}$

The rectangular coordinates are (2.73, 0.73)