SSC CGL 5 Aug 2017 Shift 1 Paper

Question : 70 of 100

Marks: +1, -0

What is the simplified value of

(1/{\cosec A + \cot A})^2

Solution:

[1/{\cosec A + \cot A}]^2

[1/{{1/{\sinA}}+\cosA/\sinA}]^2=[\sinA/{1+\cosA}]^2

={\sin^2A}/(1+\cos A)^2={1-\cos^2A}/(1+\cos A)^2

={(1 - \cos A ) (1 + \cos A) }/(1 + \cos A )^2

={1 - \cos A}/{1 +\cos A}

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