Question

What is the Cartesian form of `(-49,(-3pi)/4)`?

Answer 1

`(34.648,34.648)`

Explanation:

`color(blue)("For " x` :

`color(blue)(x = r cos theta`
`color(blue)(x = (-49)* cos((-3pi)/4)`
`color(blue)(x = 49/sqrt2=34.64823...`

`color(red)("For " y :`

`color(red)(y = r sintheta`
`color(red)(y = (-49)* sin((-3pi)/4)`
`color(red)(y = (49)/sqrt2=34.64823...`

The answer is (Rounded off) `-> (color(blue)(34.648,color(red)(34.648)))`

This is the graph....