Check the solution to "Convert the following coordinates between rectangular and polar..."

High School
Calculus and Analysis
Calculus 2
Parametric equations

he298c

Answered question

2021-08-31

Convert the following coordinates between rectangular and polar form

(- 1, \sqrt{3})

Answer & Explanation

hesgidiauE

Skilled2021-09-01Added 106 answers

$(- 1, \sqrt{3})$
$∴ x = - 1, y = \sqrt{3}$
$∴ r \cos θ = - 1 r \sin θ = \sqrt{3}$
$∴ r^{2} = {(- 1)}^{2} + {(\sqrt{3})}^{2} = 4 \Rightarrow r = 2$
$∴ \cos θ = - \frac{1}{2}, \sin θ = \frac{\sqrt{3}}{2}$
$∴ T h e n θ = 2 \frac{π}{3}$
$∴ T h e p o l a r c o o r d i n a t e s = (r, θ) = (2, 2 \frac{π}{3})$

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