How would I convert (6,315°) from direction form to component form?

Question

This is a pre calculus problem on my work..

Answer 1

"Direction form" is also called "polar form" (r,θ), where r = 6 and θ = 315°.

The component form is (x, y) where:

x = rcosθ = 6cos315° = 6(√2/2) = 3√2

y = rsinθ = 6sin315° = 6(-√2/2) = -3√2

component form: (3√2, -3√2)