Guys ,i justed wanted to ask out something
if the formula given in NCERT is right
Tan(A+B)=Tan A+Tan B/1-Tan A*Tan B
then dont u think
{ Tan(A +B) }(1-Tan A*Tan B)= Tan A+Tan B
should be right too
but if put A & B =45
then
LHS=Not Defined(0)=Not Defined
&
RHS=1+1=2
whats wrong in formula then
The formula is right, but you need to be careful about the domain of the expressions.
For example:
is clearly undefined for A = B = 45 as the denominator on the RHS is 0. Likewise the left hand side is undefined for A = B = 45, so no contradictions.
The result is that when you solve this for :
and let A + B = 45, not only do you have an undefined quantity on the right hand side, but you have effectively multiplied both sides of the tan(A + B) equation by 0! So I wouldn't expect this equation to give any reasonable response for those values of A and B.
-Dan