Question

Identify the transformation which transforms the point P(x, y), written in Cartesian form to its polar form. Find the Cartesian representation of a point Q(5, π/4), written in polar form.​

Answer 1

Answer:

Q(5/√2, 5/√2)

Step-by-step explanation:

polar form representation is P(r, θ)

Cartesian form representation is P(x, y)

here r = 5 and θ = π/4

x = r cosθ

y = r sinθ

x = 5 * cos π/4

= 5 * 1/√2

x = 5/√2

y = 5 * sin π/4

= 5 * 1/√2

= 5/√2

so Cartesian form is Q(5/√2, 5/√2)