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TanA+TanB+Tanc-sin(A+B+C)/cosAcosBcosC=? Please tell the answer

TanA+TanB+Tanc-sin(A+B+C)/cosAcosBcosC=? Please tell the answer

Grade:12

1 Answers

Arun
25763 Points
3 years ago
Dear Bhoomika
 
tanA + tanB + tanC - [sin(A+B)*cosC + cos(A+B) *sinC]/cosA cosB cosC
= tanA + tanB + tan C -[sinA cosB cosC +cosAcosB cosC + cosAcosB sinC - sinA sinB sinC]/cosA cosB cosC
= tanA + tanB + tanC - tanA - tanB - tanC + tanA tanB tanC
= TanA tanB tanC
 
Regards
Arun (askIITians forum expert)

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