Question

find the distance between the points A 3 sin ,thetha and 0,3 cos thetha​

Answer 1

Step-by-step explanation:

To find the distance between two points, we apply distance formula.

Distance formula is given as

\sf\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}(x2−x1)2+(y2−y1)2

Here, (x₁, y₁) = (acos∅,0)

and (x₂, y₂) = (0, asin∅)

So, we get distance as

\sf\sqrt{(0 - acos\theta)^2 + (asin\theta - 0)^2}(0−acosθ)2+(asinθ−0)2

\sf\sqrt{a^2cos^2\theta + a^2sin^2\theta}a2cos2θ+a2sin2θ

\sf\sqrt{a^2(cos^2\theta + sin^2\theta)}a2(cos2θ+sin2θ)

\sf\sqrt{a^2}a2 (It is known that cos²∅ + sin²∅ = 1)

This gives a.

Hence the distance between given two points is a.