sin(t)cos(t)[sec(t)-csc(t)]=
A. sin(t)-cos(t)
B. sec(t)-csc(t)
C. 2sin(t)cos(t)
D. sec^2(t)-csc^2(t)
E. None of the above
\(sin(t)cos(t)[sec(t)-csc(t)]\\ =sin(t)cos(t)[\frac{1}{cos(t)}-\frac{1}{sin(t)}]\\ =\frac{sin(t)cos(t)}{cos(t)}-\frac{sin(t)cos(t)}{sin(t)}\\ =sin(t)-cos(t)\)
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