Maths-
General
Easy

Question

If A + B + C =pi, then cos A + cos B – cos C =

  1. – 1 + 4 sin A/2 cos B/2 sin C/2
  2. – 1 + 4 cos A/2 sin B/2 sin C/2
  3. 4 cos A/2 sin B/2 sin C/2
  4. – 1 + 4 cos A/2 cos B/2 sin C/2

The correct answer is: – 1 + 4 cos A/2 cos B/2 sin C/2


    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell cos invisible function application A plus cos invisible function application B minus cos invisible function application C end cell row cell equals 2 cos invisible function application fraction numerator A plus B over denominator 2 end fraction cos invisible function application fraction numerator A minus B over denominator 2 end fraction minus open parentheses 1 minus 2 sin squared invisible function application C over 2 close parentheses end cell row cell equals negative 1 plus 2 sin invisible function application C over 2 open square brackets cos invisible function application fraction numerator A minus B over denominator 2 end fraction plus sin invisible function application C over 2 close square brackets end cell row cell equals negative 1 plus 2 sin invisible function application C over 2 open square brackets cos invisible function application fraction numerator A minus B over denominator 2 end fraction plus cos invisible function application fraction numerator A plus B over denominator 2 end fraction close square brackets end cell row cell equals negative 1 plus 4 cos invisible function application A over 2 cos invisible function application B over 2 sin invisible function application C over 2 end cell end table

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