Question

can someone verify the following:
((sin2x)/cot(x))=1-cot(2x)

Answer 1

\(\sin^2(x)\) or \(\sin(2x)\) ?

Answer 2

sin(2x)

Answer 3

The right hand side is cot(2x) ?

Answer 4

\[\frac{ 1 }{ cotx } = tanx\]

Answer 5

the right side is 1-cot(2x)

Answer 6

\[\sin(2x)\tan(x)=1-\cot(2x) \implies -1+\cot(2x)+\sin(2x)\tan(x)=0\]

Answer 7

Well you can sub y = tan(x/2) but I have to go right now, c ya and good luck, if you still need help later I'll get back to you then.

Answer 8

You can try substituting the following:
sin(2x) = 2sin(x)cos(x)
cot(x) = cos(x) / sin(x)
cot(2x) = 1 / tan(2x) where tan(2x) = 2tan(x) / (1 - tan^2(x)); tan(x) = sin(x)/cos(x).