Is it really taijiquan?

Tai chi instructors seldom distinguish between tai chi for exercise and taijiquan.
Most modern tai chi classes study tai chi exercise but only a rare few practice a martial art.
It is common for classes to say that they are teaching 'taijiquan' when in fact they are teaching 'tai chi exercise' instead.

Many students are exposed to 'tai chi' and believe this to be the martial art.
In some cases it may well be, but in most cases it is merely tai chi exercise practice with a threadbare smattering of martial skill thrown in for variety.