Question

Convert (5, 3π/4) into rectangular coordinates.

Answer 1

You are given

r = 5
theta = 3pi/4

Answer 2

you want a point in the form (x,y) or in the form x+y*i

use the formulas

x = r*cos(theta)
y = r*sin(theta)

to get the values of x and y

Answer 3

theta is already given, theta = 3pi/4

this is assuming (5, 3π/4) is in polar form (r,theta)

Answer 4

Cylindrical \(\rightarrow\) Rectangular
\(r ~ , \theta ~ , z\) \(\rightarrow\) \(x ~ , ~ y ~ , ~ z\)

Answer 5

\[\sf x = r\cos(\theta) ~, y = r\sin(\theta) ~ , z =z\]