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Grade 11Trigonometry

If cos alpha+cos beta+cos gamma=0=sin alpha+sin beta+sin gamma than the value of cos (alpha-beta)+cos (beta-gamma)+cos (gamma-alpha)

Profile image of Seemala Gyaneshwar
7 Years agoGrade 11
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
square both the equations and add them
 
we will get
 
3 + 2 {cos( alpha -beta) + cos (beta – gamma) + cos (gamma- alpha)} = 0
 
hence
2{cos( alpha -beta) + cos (beta – gamma) + cos (gamma- alpha)} = – 3
 
{cos( alpha -beta) + cos (beta – gamma) + cos (gamma- alpha)} = – 3/2
 
 

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