Question

determine the polar coordinates of (-1,1) given in rectangular coordinate

Answer 1

Answer
Polar coordinates are (√2,3π4)

Explanation:

Polar coordinates (r,θ) of rectangular coordinates (x,y) are given by r=√x2+y2and θ=tan−1(yx).

Hence polar coordinates of (−1,1) are

(√(−1)2+12,tan−1(−11)) or

(√(1+1),tan−1(−1)) or

(√2,3π4)