If A + B = C, then tanAtanBtanC = ?
A. tanC + tanA - tanB
B. tanC + tanA + tanB
C. tanA - tanB - tanC
D. tanC - tanA - tanB
Answer: Option D
Solution(By Examveda Team)
A + B = Ctan(A + B) = tanC
$$\frac{{\tan {\text{A}} + \tan {\text{B}}}}{{1 - \tan {\text{A}}\tan {\text{B}}}} = \tan {\text{C}}$$
tanA + tanB = tanC - tanAtanBtanC
tanAtanBtanC = tanC - tanA - tanB
This Question Belongs to Arithmetic Ability >> Trigonometry
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