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]

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