Principle Of Mathematical Induction

Question
CBSEENMA11013853

Prove that: 

sinα plus sinβ plus sinγ minus sin left parenthesis straight alpha plus straight beta plus straight gamma right parenthesis space equals space 4 sin open parentheses fraction numerator straight alpha plus straight beta over denominator 2 end fraction close parentheses space sin open parentheses fraction numerator straight beta plus straight gamma over denominator 2 end fraction close parentheses space sin open parentheses fraction numerator straight gamma plus straight alpha over denominator 2 end fraction close parentheses

Solution

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