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If A, B, C are the angles of a triangle, tanA + tanB + tanC equals which expression?
AsecA secB secC
BcotA cotB cotC
CtanA tanB tanC
DsinA sinB sinC
Answer & Solution
Correct answer: C. tanA tanB tanC
Since A + B = 180° − C, tan(A+B) = −tanC, which rearranges to tanA + tanB + tanC = tanA tanB tanC.
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