Question

How do you start simplifying the equation (cos(x)cot(x)/1-sin(x))-1?

Answer 1

\[\frac{ \cos(x)\cot(x) }{ 1-\sin(x) }-1\]
is this your question.

Answer 2

Yeah.

Answer 3

you can complete the answer.

Answer 4

Thanks!

Answer 5

to me, I break the first term and the second term apart. second term is 1, let it there.
now calculate the first term:
\[\frac{cos *\frac{cos}{sin}}{1-sin}= \frac{\dfrac{cos^2}{sin}}{1-sin}\]time both numerator and denominator by (1+sin)
\[\frac{\frac{cos^2}{sin}(1+sin)}{(1-sin)(1+sin)}=\frac{\frac{cos^2}{sin}(1+sin)}{1-sin^2}=\frac{\frac{cos^2}{sin}(1+sin)}{cos^2}\]cancel out cos^2
\[\frac{1+sin}{sin}=\frac{1}{sin}+1= csc +1\]
now, add the second term from the beginning, that is -1
csc +1-1= csc