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The trigonometric equation sin^(-1)x=2si...

The trigonometric equation `sin^(-1)x=2sin^(-1)a` has a solution for

A

{1, 2}

B

{-1, 2}

C

{-1, 1, 0}

D

`{1, 1/2, 0}`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Assertion A : The equation sin^(-1)x=3sin^(-1)(a) has a solution for -1/2leale1/2 Reason : AA x in [-1,1], sin^(-1)x in [0,2pi]

    A
    1)Both A and R are true and R is correct explanation of A
    B
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  • The solution set of the equation sin^(-1)x=2tan^(-1)x is

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    B
    `{-1,2}`
    C
    `{-1,1,0}`
    D
    `{1,1/2,0}`

  • The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

    A
    1
    B
    2
    C
    3
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    4

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