SOLUTION: Prove the identity: Sin2x (tan x + cot x) = 2 Thanks

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Question 821182: Prove the identity:
Sin2x (tan x + cot x) = 2
Thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Prove the identity:
Sin2x (tan x + cot x) = 2
sin%282x%29%28tan%28x%29%2Bcot%28x%29%29=2
start with left side:
sin%282x%29%28tan%28x%29%2Bcot%28x%29%29
..
2sin%28x%29cos%28x%29%28sin%28x%29%2Fcos%28x%29%29%2B%28cos%28x%29%2Fsin%28x%29%29
..
2sin%28x%29cos%28x%29%28sin%5E2%28x%29%2Bcos%5E2%28x%29%29%2F%28cos%28x%29sin%28x%29%29
..
2sin%28x%29cos%28x%29%281%29%2F%28cos%28x%29sin%28x%29%29=2
.,
verified: left side=right side