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CBSE Class 11-science Answered

(cos x - cos y)^2 + (sin x - sin y)^2 = 4sin^2 (x-y)/2
Asked by rtortechger.official | 12 Jul, 2018, 07:36: PM
answered-by-expert Expert Answer
begin mathsize 16px style open parentheses cos space straight x space minus space cos space straight y close parentheses squared plus open parentheses sin space straight x space minus space sin space straight y close parentheses squared
equals cos squared straight x plus sin squared straight x plus cos squared straight y plus sin squared straight y minus 2 open square brackets cosx space cosy space plus sinx space siny close square brackets
equals 2 minus 2 open parentheses cos open parentheses straight x minus straight y close parentheses close parentheses
equals 2 open square brackets 1 minus open curly brackets 1 minus 2 sin squared open parentheses fraction numerator straight x minus straight y over denominator 2 end fraction close parentheses close curly brackets close square brackets
equals 4 sin squared open parentheses fraction numerator straight x minus straight y over denominator 2 end fraction close parentheses end style
Answered by Arun | 13 Jul, 2018, 11:29: AM

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