Question

Find the distance between the following point :

(sec θ , tan θ) and (- tan θ , sec θ)

Answer 1

A (sec θ , tan θ) , B (- tan θ , sec θ)

AB = `sqrt ((- "tan"  theta - "sec" theta)^2 + ("sec" theta - "tan" theta))`

`= sqrt ("tan"^2 theta + "sec"^2 theta + 2  "tan" theta  "sec" theta + "sec"^2 theta + "tan"^2 theta - 2 "tan" theta . "sec" theta)`

`= sqrt (2  "sec"^2 theta + 2  "tan"^2 theta)` units