How do you convert $y = 4 x$ $y = 4x$ to polar form?

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How do you convert $y = 4 x$ $y = 4x$ to polar form?

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Answer 1 · 2016-02-18T21:44:33

$tan θ = 4$ $tantheta = 4$

Explanation:

using the formulae that links Cartesian to Polar coordinates.

$∙ x = r cos θ$ $• x = rcostheta$

$∙ y = r sin θ$ $• y = rsintheta$

hence : $r sin θ = 4 r cos θ$ $rsintheta = 4rcostheta$

divide both sides by r : $4 cos θ = sin θ \Rightarrow tan θ = 4$ $4costheta = sintheta rArr tantheta = 4$

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How do you convert $y = 4 x$ $y = 4x$ to polar form?

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