tan inverse (1/x) = cot inverse (x) - pi for x less than 0 and = cot inverse x for x greater than 0. I know how to verify this but my doubt is when I'm changing functions how do I know that for like here about 0 we've different answers so how do I know that about which value I've check and will there always be only 1 such value? I mean how can we say that below 0 answer will always will same and not change I.e. cot inv x -pi . Pls show for other function like sin cos also
Dear Student,
It depends upon the graph, here is the graph of arc tan 1/x :
Now pay attention to the part for x<0.
And now the graph of arc cotx is
Now we can see that the graph for x<0 is not same but by looking at the graph of
Similar approach for the arc sinx, arc cosx etc.
regards
It depends upon the graph, here is the graph of arc tan 1/x :
Now pay attention to the part for x<0.
And now the graph of arc cotx is
Now we can see that the graph for x<0 is not same but by looking at the graph of
Similar approach for the arc sinx, arc cosx etc.
regards