If cosec θ - cot θ = \(\frac{1}{\sqrt {11 }}\), then value of cosec θ is?
Answer & explanation
Correct answer: option 3
cosec θ - cot θ = \(\frac{1}{\sqrt {11 }}\) ............(i)
then cosec θ + cot θ = \(\sqrt {11}\)
adding the equation
2 cosec θ = \(\sqrt {11 }\) + \(\frac{1}{\sqrt {11 }}\)
⇒ 2cosec θ = \(\frac{12}{\sqrt {11 }}\)
cosec θ = \(\frac{12}{2\sqrt {11 }}\)