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If α1 , α2 ..... αn are real numbers, show that, (cos α1 + cos α2 + ..... + Cosαn)^2 + ( Sin α1 + .... + Sin αn)^2 ≤ n^2 .

+2 votes
in JEE by kratos

If α1 ,α2 .....αnare real numbers, show that,

(cos α1 + cos α2 + ..... + Cos*αn)2 + ( Sinα1 + .... + Sinαn)2*≤ n2 .

1 Answer

+4 votes
by kratos
 
Best answer

L H = (cos2α1 + sin2α1) + .... + ( Cos2αn + Sin2αn) + 2Σ Cos (α1 -α2) nC2*terms

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