Question

find the distance between cos theta sin theta and sin theta minus cos theta​

Answer 1

Answer: The distance between the points is root 2

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}