How do you convert $(5, \frac{3 (π)}{2})$ $(5, (3(pi))/2 )$ to rectangular form?

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How do you convert $(5, \frac{3 (π)}{2})$ $(5, (3(pi))/2 )$ to rectangular form?

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Answer 1 · 2017-07-17T17:33:02

$(0, - 5)$ $(0,-5)$

Explanation:

$to convert from polar to rectangular form$ $"to convert from "color(blue)"polar to rectangular form"$

$that is (r, θ) \to (x, y) where$ $"that is " (r,theta)to(x,y)" where"$

$∙ x x = r cos θ x; y = r sin θ$ $•color(white)(x)x=rcosthetacolor(white)(x);y=rsintheta"$

$here r = 5 and θ = \frac{3 π}{2}$ $"here "r=5" and " theta=(3pi)/2$

$\Rightarrow x = 5 cos (\frac{3 π}{2}) = 0$ $rArrx=5cos((3pi)/2)=0$

$\Rightarrow y = 5 sin (\frac{3 π}{2}) = - 5$ $rArry=5sin((3pi)/2)=-5$

$\Rightarrow (5, \frac{3 π}{2}) \to (0, - 5)$ $rArr(5,(3pi)/2)to(0,-5)$

Answer 2 · 2017-07-17T17:37:33

One should recognize the special case where the angle is $\frac{3 π}{2}$ $(3pi)/2$

This makes the x coordinate become 0 and makes y coordinate become length of the radial component, 5, overlaid upon the the negative y axis, -5.

Therefore, the point is $(0, - 5)$ $(0,-5)$

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How do you convert $(5, \frac{3 (π)}{2})$ $(5, (3(pi))/2 )$ to rectangular form?

2 Answers

Explanation:

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How do you convert (5, (3(pi))/2 ) (5,3(π)2)(5, (3(pi))/2 ) to rectangular form?

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How do you convert $(5, \frac{3 (π)}{2})$ $(5, (3(pi))/2 )$ to rectangular form?