if you are told to simplify each expression to a single trig function or number and the function you were given was 1-((sin^2x)/(tan^2x) what would be the final trig function or number?
[ 1 - sin^2 (x) ] / tan^2 (x) =
[cos^2 (x) ] / [sin^2(x)/ cos^2(x)] =
cos^2 (x) * cos^2(x) / sin^2(x) =
cos^4(x) / sin^2(x)
Wheteher this is more "simple" or not is debatable.......