Question

Please help and thank you!

Answer 1

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.