Convert to rectangular coordinates. Use exact values.

Question

(7,3𝜋/2)

Answer 1

Polar coordinates are (r, θ), where r = 7 and θ = 3π/2

Rectangular coordinates are (x, y) where x = rcosθ = 7cos(3π/2) = 7(0) = 0 and

y = rsinθ = 7sin(3π/2) = 7(-1) = -7

So, (x, y) = (0, -7)

Answer 2

Draw and label a diagram!

(0, -7)