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Hello please help me to solve this sum If tanA=2 ,tanB = 3 then find the value of (A+B)

Hello please help me to solve this sum If tanA=2 ,tanB = 3 then find the value of (A+B)

Grade:11

5 Answers

CHAKRAVARTHI
52 Points
6 years ago
GIVEN,
tan A=2
     A=tan-1(2)..............(1)  [take it as equation no.1]
AND,
2tan B=3,
       B=tan-1(3).............(2)  [take it as equation no.2]
 
hence ,(1)+(2)= A+B=tan-1(2)+tan-1(3)
pavithra Ayyanar
21 Points
6 years ago
If tanA = 2 and tanB = 3 then
tan(A+B) = tanA+tanB/1-tanAtanB
                = 2+3/1-2(3)
                = 5/1-6
                = 5/-5
                = -1
A+B= tan-1(-1)
A+B = -\pi /4
The principal value =- \pi /4
General sol \theta =n\pi -\pi /4, n\in Z
Puneet trivedi
39 Points
5 years ago
TanA=2TanB=3Then,by formulaTan(A+B)=TanA+TanB/1-TanA TanBTan(A+B)=2+3/1-2*3Tan(A+B)=5/-(5)Tan(A+B)=-1Tan(A+B)=Tan(-45)(A+B)=Tan^-1(-45) ans...
Soumendu Majumdar
159 Points
5 years ago
Dear Student,
tan(A + B) = { tan A + tan B }/{ 1 – tan A . tan B }
= ( 2 + 3 )/( 1 – 2 x 3)
= – 1 (Ans)
So (A + B) = n\Pi + 135^{\circ} or  n\Pi -45^{\circ}
 
Hope it helps!
Soumendu Majumdar
159 Points
5 years ago
If you have any more doubts, don’t hesitate, feel free to ask
I would be happy to help you
And yes I forgot to mention that  n is an integer
so hope it helps!
 

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