limit t --> 0 of : (tan(pie/4 + t) - tan(pie/4)) / t
I convert to sins and cosines, try to evaluate and get 1 sometimes, 0 other times. I try to expand out the sin and cos of (pie/4+t) but still get the same answers. I try to multiply both sides by sin(T)/sin(T) and t/t but its messed up because sin(T)= 0 so I usually end up with 1 on the bottom making either the whole expression void or it ends up as sqrt(2)/2 / sqrt(2)/2 which is 1.
So can anyone help? im probably making some big mistakes here, but i mean I think ive been at it for a few hours already......
also the test says the answer = 2