Question

How do you convert `((5, -4pi/3))` into rectangular forms?

Answer 1

Rectangular coordinates are `x=-5/2` and `y=(5sqrt3)/2`

Explanation:

Given: `r=5` and `theta=(-4pi)/3=-240^@`
Angle `theta` is located at the second quadrant.

`x=r cos theta=5*cos ((-4pi)/3)=-5/2`

`y=r sin theta=5*sin ((-4pi)/3)=(5sqrt3)/2`

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