Question

verify the identity:
cot x/1+csc x=csc x-1/cot x

Answer 1

\[\frac{ \cot x }{ 1+cosec x }= cosec x- \frac{ 1 }{ \cos x }??\]

Answer 2

no,the right side is
=(csc x-1)/cot x

Answer 3

can someone help me,plz?

Answer 4

\[\frac{ cotx }{ 1+cosecx }*\frac{ (1-cosec x) }{ (1-cosec x) }\]
\[=\frac{ cotx *(1-cosec x) }{ (1-cosec ^{2}x) }\]

Answer 5

also, we know that
\[1+ \cot ^{2}x=cosec ^{2}x\]
\[1- cosec ^{2}x= - \cot ^{2}x\]
putting this value in above equation.
\[\frac{ \cot x*(1-cosecx) }{ - \cot ^{2}x }= \frac{ -(1-cosecx )}{ \cot x }=\frac{ cosecx -1 }{ \cot x }\]

Answer 6

thnku sooooooo much @neer2890 and @RaphaelFilgueiras :)

Answer 7

you're welcome........:)

Answer 8

you are welcome