Question

Find the distance of the following points from origin.
(a cos θ, a sin θ).

Answer 1

Let p(a cos θ, a sin θ) and O(0 , 0)
Then | OP | = `sqrt((a cos theta - 0)^2 + (a sin theta - 0)^2)`
= `sqrt(a^2 cos^2 theta + a^2 sin^2 theta)`
= `sqrt(a^2 (sin^2 theta + cos^2 theta)`
= `asqrt(1)`
= a units.