#2**+5 **

Because sin can only take values between ±1 the values of tan(ln(x)) must lie in this range for the function to be defined. This makes the function defined only between certain values of x. See the graphs below:

There are an infinite number of such regions (e^{7pi/4} < x < e^{9pi/4}, for example).

Which is the region of interest?

Alan
Oct 6, 2014

#1**0 **

Alan or Chris, do either of you have any idea how to do this. I played with it but I really have no idea.

Melody
Oct 6, 2014

#2**+5 **

Best Answer

Because sin can only take values between ±1 the values of tan(ln(x)) must lie in this range for the function to be defined. This makes the function defined only between certain values of x. See the graphs below:

There are an infinite number of such regions (e^{7pi/4} < x < e^{9pi/4}, for example).

Which is the region of interest?

Alan
Oct 6, 2014