Trig (math)

1.) Find all solutions of the equation. Leave answers in trigonometric form.
x^2 + 1 - sqrt3i = 0

2.) Give the rectangular coordinates for the point.
(9, 2pi/3)

3.) The rectangular coordinates of a point are given. Express the point in polar coordinates with r L 0 and 0° K theta < 360°.

(1/4 , -sqrt3/4)

4.) For the given rectangular equation, give its equivalent polar equation.
8x - 7y = -10

I need help setting this up.

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  1. #1
    in polar form,
    -1+√3i = (2,2π/3)
    So, the two square roots of that are
    (√2,π/3) and (√2,4π/3)

    #2,#3
    just plug in
    x = r cosθ
    y = r sinθ

    #4
    8x - 7y = -10
    7y - 8x = 10
    7r sinθ - 8r cosθ = 10
    r = 10/(7sinθ-8cosθ)

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