The distance of the point (a cos θ, a sinθ) from the origin is

To find the distance of the point (a cos θ, a sin θ) from the origin, we can use the distance formula.

The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a two-dimensional plane is given by the formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the point are (a cos θ, a sin θ), and the coordinates of the origin are (0, 0).

Substituting these values into the distance formula, we get:

d = √((a cos θ - 0)^2 + (a sin θ - 0)^2)

Simplifying further, we have:

d = √(a^2 cos^2 θ + a^2 sin^2 θ)

Using the trigonometric identity cos^2 θ + sin^2 θ = 1, we can simplify the equation to:

d = √(a^2 (cos^2 θ + sin^2 θ))

Since cos^2 θ + sin^2 θ = 1, the equation becomes:

d = √(a^2)

Therefore, the distance of the point (a cos θ, a sin θ) from the origin is simply a.