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