Question

The original coordinates of the point in polor coordinates are

(a) X’=r cos (Ф +ϴ) and Y’=r cos (Ф +ϴ)

(b) X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)

(c) X’=r cos (Ф -ϴ) and Y’=r cos (Ф -ϴ)

(d) X’=r cos (Ф +ϴ) and Y’=r sin (Ф -ϴ)

This question was addressed to me during an online exam.

I would like to ask this question from 2D Rotation in chapter 2D Transformation and Viewing of Computer Graphics

Answer 1

Correct answer is (b) X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ)

To explain: The original coordinates of the point in polor coordinates are X’=r cos (Ф +ϴ) and Y’=r sin (Ф +ϴ).