What are the polar coordinates of # (−1, 5)#?

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Answer 1 · 2018-03-26T12:32:20

Polar coordinates are #(sqrt26,101.31^0)#

Polar coordinates are #(r,theta)# at a distance #r# from a fixed

point #o# that is called the pole and an angle #theta# from a

fixed direction. Rectangular coordinates :#(x,y)=(-1,5)#

#r=sqrt(x^2+y^2) = sqrt (1+25) =sqrt 26 ; tan alpha=|y/x|=5#

#:. alpha=tan^-1(5)= 78.69^0 # Since :#(-1,5)# lies on 2nd

quadrant # theta=180-alpha=(180-78.69)=101.31^0#

Hence Polar coordinates are #(sqrt26,101.31^0)# [Ans]