Question 15 Find the polar coordinates of the point Then exp

Question 15

Find the polar coordinates of the point. Then, express the angle in degrees and again in radians, using the smallest possible positive angle (-3 squareroot 2, 3 squareroot 2) The polar coordinates of the point are (Simplify your answer. Type an ordered pair. Type the coordinate for theta in radians. Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.) Express the angle in degrees using the smallest possible positive angle. theta = degree (Simplify your answer. Type your answer in degrees.) Express the angle in radians using the smallest possible positive angle. theta = (Type an exact answer, using pi as needed. Use integers or fractions for any numbers in the expression.)

Solution

given x=-32 , y=32

r²=x²+y²

r²=(-32)²+(32)²

r²=18+18

r²=36

r=6

=tan^-1(y_/x)

=tan^-1(32_/(-32))

=180^o-tan^-1(32_/32)

=180^o-tan^-1(1)

=180^o-45^o

=135^o

=tan^-1(32_/(-32))

=-tan^-1(32_/32)

=-tan^-1(1)

=-(_/4)

=(3_/4)