Question

simplify the expression:
cotx+1/cscx

Answer 1

is it [cot(x) +1] / csc(x) or cot(x) + (1/csc(x))?

Answer 2

the first way u have it. and i know to separate them, but then i get confused after that

Answer 3

\[\cot(x) = \frac{\cos(x)}{\sin(x)}\] \[\csc(x) = \frac{1}{\sin(x)}\]

so
\[\frac{\frac{\cos(x)}{\sin(x)}+1}{\csc(x)}\]
\[\frac{\frac{\cos(x)}{\sin(x)}+1}{\frac{1}{\sin(x)}}\]
if you multiply the top and bottom by sin(x) then you get
\[\cos(x) + \sin(x)\]