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Aptitude · Q303

Trigonometry

Competitive Exams · Aptitude · question 303

Q303

If A + B = C, then tanAtanBtanC = ?

A.
tanC + tanA - tanB
B.
tanC + tanA + tanB
C.
tanA - tanB - tanC
D.
tanC - tanA - tanB
Answer

Answer: Option D

Solution

Answer: Option D
Solution:
A + B = C
tan(A + B) = tanC

tanA + tanB = tanC - tanAtanBtanC
tanAtanBtanC = tanC - tanA - tanB