A graph is symmetric with respect to the vertical line corresponding to t= pi/2 and r > 0. What does this say about the algebraic symmetry of the function? A. r(t)=r(pi-t) B. r(t)=r(-t) C. r(t)=r(pi/2-t) D. r(t)=-r(t) Solution Symmetrical wrt to vertical line: t=pi/2 and r>0 which above the horizontal axisi.e. 0--- pi rad So, it means r(t) = r(180 -t) = r(pi -t) Option A.

1. A graph is symmetric with respect to the vertical line corresponding to t= pi/2 and r > 0. What
does this say about the algebraic symmetry of the function?
A. r(t)=r(pi-t)
B. r(t)=r(-t)
C. r(t)=r(pi/2-t)
D. r(t)=-r(t)
Solution
Symmetrical wrt to vertical line: t=pi/2 and r>0
which above the horizontal axisi.e. 0--- pi rad
So, it means r(t) = r(180 -t) = r(pi -t)
Option A