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The ascending order of A=Sin^(-1)(log(3)...

The ascending order of `A=Sin^(-1)(log_(3)""^(2)), B=Cos^(-1)(log_(3)(1/2)), C=Tan^(-1)(log_(1//3)2)` is

A

C, B, A

B

B, A, C

C

C, A, B

D

B, C, A

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The decreasing order of, A=(Sin^(-1)((1-sqrt(3))/(2sqrt(2)))), B=Cos^(-1)((-1)/sqrt(2)), C=Tan^(-1)((sqrt(3)+1)/(2sqrt(2))) is

    A
    B, A, C
    B
    B, C, A
    C
    C, A, B
    D
    C, B, A

  • The ascending order of A=cos("sin"^(-1)12/13), B=sin(2"Tan"^(-1)3/4), C=tan(1/2"Cos"^(-1)1/3) is

    A
    A,B,C
    B
    A,C,B
    C
    B,C,A
    D
    B,A,C

  • The domain of Sin^(-1)[log_(2)(x^(2)//2)] is

    A
    `[-2,-1]`
    B
    [1, 2]
    C
    `[-2,-1]cup[1,2]`
    D
    none

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