Match the point 3 6 pi5 in polar coordinates with either A B

Match the point (3, 6 pi/5) in polar coordinates with either A, B, C, or D on the graph. Choose the correct letter below which represents the point (3, 6x/5) D A B C

Solution

x coordinate of point is 3 cos 6pi/5=-2.427

y coordinate is 3 sin 6pi/5= -1.76

so the point is (-2.427,-1.76)

It means that the point is in third quadrant.

hence the correct answer is c