pre calc trig check my work please
posted by Anna .
sin x + cos x
 = ?
sin x
sin x cos x
 +  =
sin x sin x
cos x/sin x = cot x
this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers. need to figure out what im doing wrong so i can get the rest worked right. thanks

I do not see why you changed the + into a ÷, namely:
from:
sin x cos x
 +  =
sin x sin x
(which I see as sin/sin+cos/sin)
But sin x/sin x = 1, and
cos x/sin x = cot x
so the sum is 1 + cot x. 
not quite, but you are close
(sinx + cosx)/sinx
= sinx/sinx + cosx/sinx
= 1 + cotx
you left out the "1"