Question

ifA+B=45
provve that (1+tanA) (1+tanB )=2

please solve this problem ​

Answer 1

Answer:

Proved

Step-by-step explanation:

A + B = 45

Taking tan both sides

And solve

tan(A + B)=tan45

[tanA + tanB] ÷ [1- tanA tanB] = 1

tanA + tanB = 1 - tanA tanB

tanA + tanB + tanA tanB = 1

To prove

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

Taking LHS

1 + tanB + tanA + tanA tanB

By putting value

1 + 1 = 2

LHS = RHS