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!!
Comments (0)
Related Questions
Prove that- (1+sec2A )(1+sec4A)=cotA
143 Views
Trending Articles/News
NLU Cut Off 2025 - Category-wise Cutoff Marks
5 minutes ago
CLAT Counselling Invite List 2025 for UG & PG
12 minutes ago
JEE Full Form - Joint Entrance Examination
21 minutes ago
