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cotx-2cot2x=tanx...

`cotx-2cot2x=tanx`

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cotx - cot2x =2

"If "y=(tanx)^(cotx)+(cotx)^(tanx)",prove that "(dy)/(dx)=(tanx)^(cotx)."cosec"^(2)x(1-logtanx)+(cotx)^(tanx).sec^(2)x[log(cotx)-1].

Knowledge Check

  • (cot x)/(cotx-cot3x)+(tanx)/(tanx-tan3x)=

    A
    0
    B
    1
    C
    2
    D
    3

  • If tan(cotx)=cot(tanx), then sin2x is equal to

    A
    `(2)/((2n+1)pi)`
    B
    `(4)/((2n+1)pi)`
    C
    `(2)/(n(n+1)pi)`
    D
    `(4)/(n(n+1)pi)`

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    Prove that cotx cot2x -cot2xcot3x-cot3xcotx=1

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    If tan(cotx)=cot(tanx), then sin2x is equal to

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