What are the components of the vector between the origin and the polar coordinate $(-3, (7pi)/4)$ ?

Question

1581 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-02-27T04:47:04

Rectangular coordinates (Cartesian coordinates)

$color(green)(A_x = - 2.1213, A_y = 2.1213$

enter image source here

$A_x = r cos theta = -3 * cos (7pi)/4 = -2.1213$

$A_y = r sin theta = -3 * sin (7pi)/4 = 2.1213$

$tan theta = y / x = tan (7pi)/4 = -1$

What are the components of the vector between the origin and the polar coordinate (-3, (7pi)/4)(-3, (7pi)/4)?