# math

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cotx+tan2x=cotxsec2x
prove

• math -

cosx/sinx + 2sinxcosx/cos2x
= (cosxcos2x + 2sin^2(x) cosx)/(sinxcos2x)
= cotxsec2x (cos2x + 2sin^2(x))
= cotx sec2x (1-2sin^2(x) + 2sin^2(x))
= cotx sec2x

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