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"A : Cosech"^(-1) 2 = loge ((1+sqrt5)/2)...

`"A : Cosech"^(-1) 2 = log_e ((1+sqrt5)/2)`
`"R : Cosech"^(-1) x = log_e [(1+sqrt(1+x^2))/2]`

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Cosech ""^(-1) (3) =

    A
    `log (1 + sqrt10)`
    B
    `log ((1+sqrt10)/3)`
    C
    `log (1 + sqrt5)`
    D
    `log ((1+sqrt5)/3)`
  • Assertion (A) : "cosech"^(-1)(2)=log_(e )((1+sqrt(5))/(2)) Reason (R ) : "Cosech"^(-1)(x)=log_(e ) ((1+sqrt(1+x^(2)))/(2))

    A
    Both A and B are true and R is correct explanation of A
    B
    Both A and R are true and R is not correct explanation of A
    C
    A is true both R is false
    D
    A is false but R is true
  • "Sech"^(-1)(1/2) - "Cosech"^(-1) (3/4) =

    A
    `log_e ((1+sqrt3)/3)`
    B
    `log_e ((2+sqrt3)/3)`
    C
    `log_e ((2-sqrt3)/3)`
    D
    `log_3 [3 (2 + sqrt3)]`
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