Given: points (cosθ, sinθ) and (cosϕ, sinϕ) from the origin.

To find:

The perpendicular distance of the line joining the points (cosθ, sinθ) and (cosϕ, sinϕ) from the origin

Concept Used:

Distance of a point from a line.

Explanation:

The equation of the line joining the points (cos θ, sin θ) and (cos ϕ, sin ϕ) is given below:

⇒

⇒

Let d be the perpendicular distance from the origin to the line

-sinθ2 + cosϕ-cosθ2

⇒ d

⇒ d

⇒ d

⇒ d

⇒ d

⇒ d

⇒ d

Hence, the required distance is