True or False If and are not 0

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

56. True or False If

r_{1}

and

r_{2}

are not 0 , and if (

r_{1}, \theta

) and

\left(r_{2}, \theta+\pi\right)

represent the same point in the plane, then

r_{1}=-r_{2}

. Justify your answer. (1) True (2) False