Question

What are the components of the vector between the origin and the polar coordinate `(9, (5pi)/8)`?

Answer 1

Rectangular coordinates are `color(brown)(x = 2.3294, y = 8.6933)`

Explanation:

`r = 9, theta = (5pi)/12`

To find the rectangular coordinates.

From the above image, we know `x = r cos theta, y = r sin theta`

Therefore, `x = 9 * cos ((5pi)/12) = 2.3294`

`y = 9* sin ((5pi)/12) = 8.6933`