Find the rectangular representation of the given polar point.

Question

Quizplus · Accepted Answer

In rectangular form, a point is written as (x,y) where x=r*cos(theta) and y=r*sin(theta). 
According to the given polar point, r=11 and theta=0xccc9=52425 in decimal. 
To convert theta to radians, we need to multiply by pi/32768, since 32768 is the maximum value that can be represented by 16 bits. 
So, theta in radians = 52425 * pi / 32768. 
Using a calculator, we get x=9.6679 and y=-2.7886. 
Therefore, the rectangular representation of the point is (9.6679,-2.7886), which matches option C.

Find the Rectangular Representation of the Given Polar Point