The original coordinates of the point in polar coordinates are
A)X'=r cos (? +?) and Y'=r cos (? +?)
B)X'=r cos (? +?) and Y'=r sin (? +?)
C)X'=r cos (? -?) and Y'=r cos (? -?)
D)X'=r cos (? +?) and Y'=r sin (? -?)

Question

Quizplus · Accepted Answer

B) X'=r cos (? +?) and Y'=r sin (? +?) is correct because it follows the standard formula for converting polar coordinates (r, ?) into Cartesian coordinates (X', Y') when the point is rotated by an angle ?. The correct formulas are X' = r cos(? + ?) and Y' = r sin(? + ?), where r is the radius and ? is the initial angle, with ? being the angle of rotation.

The Original Coordinates of the Point in Polar Coordinates Are