Please help and thank you!

Question

asked Feb 25, 2019 102k views

1 Answer

Mejan · Answer 1 · 2019-03-02T12:42:21+0000

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.