The value of sinx siny sinx minus siny cosx cosy cosy minus cosx is ........

Quantitative Aptitude ( CCS) Trignometry

Download Solution PDF

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

-1

छोटे Courses बड़े Results

Master Trignometry

Prepare through Micro-courses

Try Now

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.