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sin^(-1)(sin 3) + sin^(-1) ( sin 4) + si...

`sin^(-1)(sin 3) + sin^(-1) ( sin 4) + sin^(-1) ( sin 5) ` when simplified reduces to

A

an irrational number

B

a rational number

C

an even prime

D

a negative integer

Text Solution

Verified by Experts

The correct Answer is:
B, D
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Knowledge Check

  • sin^(-1)(sin3)+sin^(-1)(sin4)+sin^(-1)(sin5) is equal to

    A
    `-1`
    B
    `-2`
    C
    12
    D
    `2-pi`

  • If sin^(-1) theta = sin^(-1)(sin5) then theta is:

    A
    `sin(5-pi)`
    B
    `sin(2pi -5)`
    C
    `sin(5-2pi)`
    D
    None of these

  • The value of sin^(-1)(sin 5) is

    A
    5
    B
    `5-2pi`
    C
    `5-pi`
    D
    None of these

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