If \cot^2A-\cos^2A=x, then value of x is

SSC CHSL 10 Jan 2017 Shift 2 Paper

Question : 84 of 100

Marks: +1, -0

cot^2A-cos^2A=x

, then value of x is

Solution:

Expression :

cot^2A-cos^2A=x

{cos^2 A}/{sin^2A}-cos^2 A

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

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

cos^2A×{cos^2A}/{sin^2A}

cot^2Acos^2A

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