If cosec θ - cot θ = \(\frac{1}{\sqrt {7 }}\), then value of cosec θ is?
Answer & explanation
Correct answer: option 2
cosec θ - cot θ = \(\frac{1}{\sqrt {7 }}\) ............(i)
then cosec θ + cot θ = \(\sqrt {7}\)
adding the equation
2 cosec θ = \(\sqrt {7 }\) + \(\frac{1}{\sqrt {7 }}\)
⇒ 2cosec θ = \(\frac{8}{\sqrt {7 }}\) or cosec θ = \(\frac{4}{\sqrt {7 }}\)