Question

What are the components of the vector between the origin and the polar coordinate `(5, (7pi)/12)`?

Answer 1

`x= 5*cos(7*pi/12) = -1.294095226.`
`y = 5*sin(7*pi/12) = 4.829629131.`

Explanation:

`(r;theta) = (5;7*pi/12).`
`x = r*cos(theta).`
`= 5*cos(7*pi/12) = -1.294095226.`
`y = 5*sin(7*pi/12) = 4.829629131.`

`"check: "r^2 = x^2+y^2 = 25`