The polar form of (-1,√3) is (_,_)

Question

Holly Turner

Mathematics

21 May, 22:39

The polar form of (-1,√3) is (_,_)

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Answers (1)

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Harper Ware · Answer 1

(2, 2/3 * pi)

Step-by-step explanation:

(-1, sqrt (3))

to find the radius

sqrt (x^2 + y^2) = r

sqrt ((-1) ^2 + (sqrt3) ^2) = r

sqrt (1+3) = r

sqrt (4) = r

2=r

to find theta

theta = arctan (sqrt (3) / -1)

theta = - 60 degrees

you need theta between 90 and 180

add 180 to theta

theta = 120

you need theta in radians

120 * pi/180 = 2/3 * pi

The polar form of (-1,√3) is (___,___)

The polar form of (-1,√3) is (_,_)