Answer:
Step-by-step explanation:
You want the rectangular coordinates for the polar coordinates (-4, 30°) and (3, 5π/3).
The rectangular coordinates for (r; θ) are ...
(r·cos(θ), r·sin(θ))
Setting the calculator to degrees mode, we have ...
(-4·cos(30°), -4·sin(30°)) ≈ (-3.464, -2)
Setting the calculator to radians mode, we have ...
(3·cos(5π/3), 3·sin(5π/3)) ≈ (1.5, -2.598)