the polar coordinates of a point are given find the rectangu

1. The polar coordinates of a point are given. Find the rectangular coordinates of the point. Sing Sin The rectangular coordinates of a point are given. Find the polar coordinates of the point. 2. (-5,5) 3. Convert the polar equation into rectangular coordinates. cos(20) 1

Solution

given (-7,9pi/4)=(r,theta)

now rectanglar coordinates are

x=rcostheta = - 7cos9pi/4 = -4.9497

y=rsintheta = - 7sin9pi/4 = - 4.9497

2.(-5,5)=(x,y)

r = sqrt(x^2+y^2) = sqrt(50) = 5sqrt2

theta = arctan(y/x) = arctan(-1) = -pi/4

(r,theta) =(5sqrt2, -pi/4)