Question

How do you write `3=rcos(theta-60)` in rectangular form?

Answer 1

`x+sqrt3y=6`

Explanation:

The conversion formula is

`r ( cos theta, sin theta ) = ( x, y )`

Here,

`3 =r(cos theta cos 60^o+sin theta sin 60^0)`

`=1/2(r cos theta) +sqrt 3/2(r sin theta )`

`=1/2(x+sqrt3 y)`