If sec θ - tan θ = \(\frac{1}{\sqrt {5 }}\), then value of sec θ is?
Answer & explanation
Correct answer: option 4
sec θ - tan θ = \(\frac{1}{\sqrt {5 }}\) ............(i)
then sec θ + tan θ = \(\sqrt {5}\)
adding the equation
2 sec θ = \(\sqrt {5 }\) + \(\frac{1}{\sqrt {5 }}\)
⇒ 2sec θ = \(\frac{6}{\sqrt {5 }}\) or sec θ = \(\frac{3}{\sqrt {5 }}\)