Find the polar coordinates(De Moivre's Theorem)
Change the polar coordinates Q (- 3, - 270°) to rectangular coordinates.
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1 solution
Shouldn't r be always positive?
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In polar co-ordinates I believe r can be negative well it just means that we invert the direction.
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r does not give direction. It gives only the distance from the origin.
Hi Aditya , but can you please repost your solution using L A T E X ?
Here I'll help you out , this way it'll look good :) Just copy the Latex off my comment and repost your solution
Polar coordinates are Q ( r , θ ) : r = − 3 , θ = − 2 7 0 °
x = r c o s θ , y = r s i n θ ⇒ x = − 3 c o s ( − 2 7 0 ° ) , y = − 3 s i n ( − 2 7 0 ° )
Therefore x = − 3 ( 0 ) , y = − 3 ( 1 ) ⇒ x = 0 , y = − 3
The rectangular coordinates are Q ( 0 , − 3 ) .
Solution: r = - 3, θ = - 270° [Polar coordinates are Q (r, θ).] x = r cos θ , y = r sin θ x = - 3 cos (- 270°), y = - 3 sin (- 270°) [Substitute r = - 3 and θ = - 270°.] x = - 3(0), y = - 3(1) x = 0, y = - 3 The rectangular coordinates are Q (0, - 3).