Find cosθ if, {cosec\theta + \cot\theta}/ {cosec\theta - \cot\theta} = 5/ 3 .

SSC CPO SI and ASI Model Paper 9

Question : 127 of 200

Marks: +1, -0

Find cosθ if,

{cosecθ + cotθ}/ {cosecθ - cotθ} = 5/ 3 .

Solution:

{cosecθ+ cotθ}/{cosecθ -cotθ}=5/3

⇒ 3cosecθ + 3cotθ = 5cosecθ–5cotθ
⇒ 8cotθ = 2cosecθ

⇒{cotθ} /{sinθ}/1/{sinθ}=1/4

⇒cosθ=1/4

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