Question

Simplify:
\[\frac{ \cot ^{2}x }{ 1+cscx }+\sin x \csc x\]

Answer 1

\[\frac{ \cot ^{2} x}{ 1+\csc x }+\sin x \csc x\]

Answer 2

\(\sin(x) = \dfrac{1}{\csc(x)}\)

Answer 3

how would you combine \[\frac{ 1 }{ \csc } \frac{ \csc }{ 1}\]

Answer 4

1) "csc" doesn't mean anything.
2) How would you combine \(\dfrac{csc(x)}{csc(x)}\)

Answer 5

\[\frac{ \csc x }{ \csc x } = 1 Right?\]

Answer 6

Very good.

Answer 7

\[\frac{ \cot ^{2}x}{ 1+\csc x }+1\]

Answer 8

\[\frac{ \csc ^{2}x-1 }{ 1+\csc x }\]

Answer 9

Multiply by \(\dfrac{1 - \csc(x)}{1 - \csc(x)}\). See if anything magical happens.