Question

Find the distance between the following point :

(sin θ , cos θ) and (cos θ , - sin θ)

Answer 1

A (sin θ , cos θ) , B (cos θ , - sin θ)

 

AB = `sqrt (("cos"  theta - "sin"  theta )^2 (- "sin"  θ - "cos " θ)^2)`

 

`= sqrt ("cos"^2  θ + "sin"^2 θ - 2  "cos" θ   "sin" θ + "sin"^2 theta  + "cos"^2 theta + 2 "cos" theta  "sin"  theta) `

 

`= sqrt 2` units