[b]Pick or enter one of the following:[br][br][br][/b]tan(x) + cot(x)[br][br]sec(x)^2 - tan(x)^2[br][br]sin(x)^4 - cos(x)^4[br][br][br][br]Explore:[list][*]Can this be simplified?[/*][*]Can it be rewritten using only one trig function?[/*][*]Are there multiple paths to simplification?[/*][*]Do you get a simpler form, or does it become more complex?[/*][/list]

Some inspiration may be found in the following applet.