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