please help me, Convert to rectangular coordinates. Use exact values. (4sqr3,-pi/4)

Question

mathmale · Answer

The given point is in which Quadrant?  How do you know?  What is the length of the ray from the origin to the point?

anonymous · Answer

it doesn't say anything else...

theeric · Answer

$x=r\cos\theta$
$y=r\sin\theta$

It is that easy :)
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mathmale · Answer

You are given  (4sqr3,-pi/4).  These are the polar coordinates of a point in the xy plane.
Such a point is specified by (r, theta), where r is the distance of the point from the origin and theta is the angle that that distance (ray) makes with the positive x-axis.

So, in this case, the distance of your point from the origin is 4Sqrt(3) (about 4*1.732), and this distance is at an angle of pi/4 clockwise, as measured from the positive x-axis.

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