SOLUTION: Prove that tan x + cot x = _ 2/sine x

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Question 1126353: Prove that tan x + cot x = _ 2/sine x
Found 2 solutions by Alan3354, FrankM:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28x%29%2Bcot%28x%29+=+2%2Fsin%28x%29

sin%28x%29%2Fcos%28x%29%2Bcos%28x%29%2Fsin%28x%29+=+2%2Fsin%28x%29



1%2Fsin%28x%29cos%28x%29+=+2%2Fsin%28x%29

since sin%282x%29+=+2+sin%28x%29+cos%28x%29

And 1%2Fsin%282x%29+=+1%2F2%28sin%28x%29+cos%28x%29%29
So

2%2Fsin%282x%29+=+1%2F%28sin%28x%29+cos%28x%29%29

Your original premise was wrong, a typo, missing the sin(2x)

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I graphed the 2 equations, and you see, they are the same. When doing this type of problem, graphing provides a nice way to check work.