Question 1183579
.
<pre>

If the function is  f(t) = {{{tan(t)/(sin(t)-cos(t))}}}, then


    (a)  the numerator  tan(t) is defined everywhere except t = {{{pi/2 + k*pi}}},  k = 0, +/-1, +/-2, . . . 


    (b)  the denominator is defined everywhere and is not zero, except of 

         the points t such that  sin(t) = cos(t),  or  tan(t) = 1,  that are  t = {{{pi/4 + k*pi}}},  k = 0, +/-1, +/-2, . . . 



THEREFORE, the given function domain is the set of all real numbers except

t = {{{pi/2 + k*pi}}},  k = 0, +/-1, +/-2, . . .  and  t = {{{pi/4 + k*pi}}},  k = 0, +/-1, +/-2, . . . 
</pre>

Solved.