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Quantitative Aptitude ( CCS)

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The value of (sinx+siny)(sinx−siny)/(cosx+cosy)(cosy−cosx) is,

-1

Explanation:

The opportunity of simplifying both numerator and denominator to two term expressions using algebraic relation, (a+b)(a−b)=a²−b² is exploited first,
(sinx+siny)(sinx−siny)/(cosx+cosy)(cosy−cosx)
=(sin²x−sin²)/(ycos²y−cos²x)
=(cos²y−cos²x)/(cos²y−cos²x)
=1.

By: MIRZA SADDAM HUSSAIN

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