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P.T cosh^(2)x+sinh^(2)x=cosh2x...

P.T `cosh^(2)x+sinh^(2)x=cosh2x`

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For any x in R , prove that cosh^(4)x-sinh^(4)x=cosh(2x)

Knowledge Check

  • cosh(2) + sin h(2) =

    A
    `1//e`
    B
    e
    C
    `1//e^(2)`
    D
    `e^(2)`
  • Cosh(2x) + sinh(2x) =

    A
    `(1+tanh(x))/(1-tanh(x)) `
    B
    `(1-tanh(x))/(1+tanh(x))`
    C
    `(tanh(x)-1)/(tanh(x)+1)`
    D
    `(1-tanh(x))/(tanh(x)-1)`
  • cosh 2 x + sin h 2x =

    A
    `(1+ tan h(x))/(1-tan h(x))`
    B
    `(1-tan h x)/(1+tan h x)`
    C
    `(tan h x -1)/(tan h x + 1)`
    D
    `(1-tan h x)/(tan h x - 1)`
  • Similar Questions

    Explore conceptually related problems

    Prove that cosh^(2)x-sinh^(2)x=1

    Prove that (coshx sinh x)^(n)=cosh (nx)-sinh(nx) , for any n in R .

    cosh 2 + sinh 2 =

    Cosh(1) + Sinh(1) =

    (sinh(2x))/(1+cosh(2x))=