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I : ("tanh x")/("sech x - 1") + ("tanh x...

`I : ("tanh x")/("sech x - 1") + ("tanh x ")/("sech x + 1") + " 2 cosech x = 0"`
`"II :" ("cosh x")/("1 - tanh x") + ("sinh x")/("1 - coth x")="sinh x + cosh x "`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II true

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • ("cosh x")/("1 -tanhx") + ("sinh x")/( "1 - coth x") =

    A
    2 cosech x
    B
    sinh x + cosh x
    C
    sech x
    D
    tanh x
  • (sinh(2x))/(1+cosh(2x))=

    A
    tanh(x)
    B
    `tanh^(2)(x)`
    C
    coth (x)
    D
    `coth^(2)(x)`
  • ("cosh x - 1")/("sinhx") =

    A
    `"sinh"x/2`
    B
    `"cosh " x/2`
    C
    `"tanh " x/2`
    D
    `"coth " x/2`
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