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If tanbeta= (2sinalfasingamma)cosec(alfa+gamma) then cot Alfa,cotbeta,cotgamma are in

If tanbeta= (2sinalfasingamma)cosec(alfa+gamma) then cot Alfa,cotbeta,cotgamma are in

Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
Let alpha=a, beta=b and gamma=c
now taking reciprocal on both sides of the equation, and expanding we get
cotb=(sinacosc+sinccosa)/2sinasinc=(cotc+cota)/2
or 2cotb=cotc+cota
so, cot Alfa,cotbeta,cotgamma are in AP

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