Find the value of secθ - tanθ, if secθ + tanθ = √5.
Answer & explanation
Correct answer: option 3
We know that,
$\sec^2θ\, - tan^2θ$ = 1
(secθ - tanθ)(secθ + tanθ) = 1
(secθ - tanθ)$\sqrt{5}$ = 1
(secθ - tanθ) = $\frac{1}{\sqrt{5}}$
= $\frac{\sqrt{5}}{5}$