SOLUTION: Please help prove identity csc2x=tanx+cotx/2 i started off with: csc(x+x) 1/sin(x+x)= 1/sinx+sinx=

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Question 232804: Please help prove identity
csc2x=tanx+cotx/2
i started off with:
csc(x+x)
1/sin(x+x)=
1/sinx+sinx=
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
csc2x=tanx+cotx/2
csc(2x) = tan(x) + cot(x)/2 Is this what's given? There's some ambiguity.
1/sin(2x) = tan(x) +cot(x)/2
1/sin(x)cos(x) = sin(x)/cos(x) + cos(x)/2sin(x)
1/sin(x) = sin(x) + cos^2(x)/2sin(x)
1 = sin^2(x) + cos^2(x)/2
These are not equal. Clarify the problem, parentheses are free.