SSC CPO SI and ASI 2013 Paper

© examsiri.com

Question : 132 of 200

Marks: +1, -0

If

\cosec \θ-\cot \θ= {7}/{2}

, the value of cosec θ is

${47}/{28}$
${51}/{28}$
${53}/{28}$
${49}/{28}$

Solution:

(3) Since,

\cosec ^{2} \θ-\cot ^{2} \θ=1

⇒(\cosec \θ-\cot \θ)

(\cosec \θ+\cot \θ)=1

Therefore,

(\cosec \θ-\cot \θ)

=1/ (\cosec \θ+\cot \θ)=2/7

Now,

⇒(\cosec \θ-\cot \θ)

+(\cosec \θ+\cot \θ)= 7/2+2/7

2\cosec \θ = 7/2+2/7=53/14

\cosec \θ = 53/28

© examsiri.com

Go to Question:

Prev Question

Next Question