Practicing Success
If sec θ - tan θ = \(\frac{1}{\sqrt {5 }}\), then value of sec θ is? |
2 1 \(\frac{2}{\sqrt {3 }}\) \(\frac{3}{\sqrt {5 }}\) |
\(\frac{3}{\sqrt {5 }}\) |
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 = \(\frac{3}{\sqrt {5 }}\) |