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A : The maximum value of f(x)=Sin^(-1)x+...

A : The maximum value of `f(x)=Sin^(-1)x+Cos^(-1)x-Tan^(-1)x" is "3pi//4`
R : `Sin^(-1)x+Cos^(-1)x=pi//2AAx inR`

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

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

    A
    `(pi/4, (3pi)/4)`
    B
    `(0, pi)`
    C
    `[pi/4, (3pi)/4]`
    D
    `[0, pi]`

  • Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

    A
    `[0,pi)`
    B
    `(0,pi]`
    C
    `[pi//4,3pi//4]`
    D
    `[0,pi]`

  • If Sin^(-1)x-Cos^(-1)x=pi/6 then x =

    A
    `1//2`
    B
    `sqrt(3)/2`
    C
    `pi/4`
    D
    `(3pi)/4`

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