Math, asked by JOSHUA999123, 1 year ago

A+B=pie/4 prove that (1+tanA)(1+tanB)

Answers

Answered by Sm1840635
2
Just take tan on both sides and use formula tan(A+B)
Answered by adityakjha24
4
A+B = π /4 =45°

TAKE TAN TO BOTH SIDES

Tan(A+B )= Tan45°

tanA+tanB/1-tanAtanB =1

1-tanAtanB=tanA+tanB
1= tanA + tanB + tanA.tanB

1+1=1+tanA+tanB+tan.AtanB

2=(1+tanA)(1+tanB)

adityakjha24: hope this will help... if any query feel free to ask
rachit751: Please explain from last 2 line
adityakjha24: ok
adityakjha24: add 1 to both side.. this will not create any difference in equation...after that take common
adityakjha24: 1(1+tanA) + tanB (1+ tanA) = (1+tanA)(1+tanB)
rachit751: Oh I got it thanks
adityakjha24: always wlcm...foloow me for any kinda help in maths
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