Answer:
Correct option: c -> pi/2
Step-by-step explanation:
To have the maximum value of r, we need to have sin(theta) = 1, so we will have r = 3 + 2*1 = 5
For other values of sin(theta), r will be smaller than 5.
So, to have sin(theta) = 1, there is only one possible angle, that is theta = 90 degrees.
To convert from degree to radians, we can use a rule of three:
180 degrees -> pi radians
90 degrees -> x radians
x * 180 = 90*pi
x = 90*pi/180 = pi/2
Correct option: c
