Hi all, I was wondering if i could get this confirmed... does arctan(x + tan(5*pi)) = arctan(x) + 5*pi????? Thanks in advance, ArTiCk

Follow Math Help Forum on Facebook and Google+

Originally Posted by ArTiCK Hi all, I was wondering if i could get this confirmed... does arctan(x + tan(5*pi)) = arctan(x) + 5*pi????? Thanks in advance, ArTiCk Clearly not. Since tan(5 pi) = 0 the left hand side is just arctan x .....

Originally Posted by ArTiCK Hi all, I was wondering if i could get this confirmed... does arctan(x + tan(5*pi)) = arctan(x) + 5*pi????? Thanks in advance, ArTiCk Not in general, no. The inverse tangent function is not linear. That is to say defining then is not true for all x and y. -Dan

I don't see why it would, because tan(5pi) is also tan(0), tan(pi), tan(2pi)... etc.

Originally Posted by ArTiCK Hi all, I was wondering if i could get this confirmed... does arctan(x + tan(5*pi)) = arctan(x) + 5*pi????? Thanks in advance, ArTiCk IT can be clearly seen that this is untrue by looking at the integral case of each and the other given by From there I think it can become obvious

View Tag Cloud