Question

Find the distance between (a cos theta,0)and (0,a sin theta)

Answer 1

by distance formula we get (a square cos square teta +a square sin square teta) which is a

Answer 2

Answer:

The distance between two points is a units.

Step-by-step explanation:

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance between (a cosθ, 0) and (0,a sinθ).

$d=\sqrt{(0-a\cos\theta)^2+(a\sin \theta-0)^2}$

$d=\sqrt{a^2\cos^2 \theta+a^2\sin^2 \theta}$

$d=\sqrt{a^2(\cos^2 \theta+\sin^2 \theta)}$

$d=\sqrt{a^2(1)}$

$d=\sqrt{a^2}$

$d=a$

Therefore the distance between two points is a units.