How do you convert (sqrt2, 1)(√2,1) into polar form?

1 Answer
Binayaka C.
May 27, 2018

Polar coordinates are (sqrt3, 35.26^0)(√3,35.260)

Explanation:

Rectangular coordinates :(x,y)=( sqrt 2,1)(x,y)=(√2,1)

r=sqrt(x^2+y^2) = sqrt (2+1) =sqrt 3 ; tan alpha=|y/x|=1/ sqrt 2r=√x2+y2=√2+1=√3;tanα=∣∣yx∣∣=1√2

:. alpha=tan^-1(1/ sqrt 2) ~~ 35.264^0 .Since (sqrt 2,1) lies

on 1st quadrant theta=alpha ~~35.264^0

Hence Polar coordinates are (sqrt3, 35.26^0) [Ans]

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