Question

Find the distance between the points (asin theta, acos theta) and (acos theta, asin theta)

Answer 1

Answer:

The distance between the points is \sqrt2

Step-by-step explanation:

We have been given the points  

(\cos\theta,\sin\theta),(\sin\theta,-\cos\theta)

We know the formula for distance between two points which is given by

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

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

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

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

Answer 2

pls check in the given attachment!!!!