if 2A+B=pi/2 prove that 2tanA+tanB=tan(A+B)
Answer (1)
17th Feb, 2021
Hello candidate,
First of all, we can replace B as π/2- 2A, or A as π/4- B/2. So, now upon commutating the value of tan(A+B), we get the result as tanA + tan (π/2-2A)/ 1- tanA* tan(90- 2A).
Upon solving the equation, 2 TanA+ tanB, we get the same value as tanA + tan (π/2-2A)/ 1- tanA* tan(90- 2A). As the right hand side part is same in both the cases, hence both the equations are same.
Hope it helps!!
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