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Please help and thank you!

Please help and thank you!-example-1

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The conversion is


x = r \cos \theta


y = r \sin \theta

So


\frac y x = \tan \theta

We're given the fairly unusual


\theta = -\frac 5 2

It's fairly unusual because usually an angle is given in degrees or radians, and typically the radians are a fraction times pi. We'll assume radians.


\frac y x = \tan \theta = \tan(-5/2) \approx 0.747

Ah, there's our .75. The approximate answer is


y = 0.75 x

Third choice.

The exact answer is


y = x \tan( -\frac 5 2)

also a line through the origin.

User Mejan
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