Question

How do you convert (3,4π/3) to rectangular form?

Answer 1

To convert (3,4π/3) to rectangular form, use the formulas x = r × cos(θ) and y = r × sin(θ). Simplify the equations to get the rectangular form: (-1.5, 2.598).

Step-by-step explanation:

To convert (3,4π/3) to rectangular form, we can use the following formulas:

x = r × cos(θ)

y = r × sin(θ)

Using these formulas:

x = 3 × cos(4π/3)

y = 3 × sin(4π/3)

Simplifying further:

x = 3 × (-0.5)

y = 3 × (√3/2)

Therefore, the rectangular form is (-1.5, 2.598).