>>14246557In your calculator, take tan^-1(tan(x)) and see what happens. Then do tan(x)*tan^-1(x) and see what happens. Then do tan(tan(x)^-1) and tan(x)*tan(x)^-1.
One is the multiplicative inverse and one is the functional inverse.
>>14246558I remember it always tripping me up in trig until I realized what was going on.