Prove that 2cot2x+tanx=cotx
2cot2x= 2(1/tan2x)= 2(1/(2tanx/1-tan2x))=2(1-tan2x)/2tanx= (1-tan2x)/tanx(1-tan2x)/tanx +tanx=(1-tan2x)/tanx +tan2x/tanx=1/tanx=cotx
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