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If sin^-1 (x- x^2/2+x^3/4+x^4/8+…) = pi/...

If `sin^-1 (x- x^2/2+x^3/4+x^4/8+…) = pi/6,` where `|x|lt2` then the value of x is (A) `2/3` (B) `3/2` (C) `-2/3` (D) `-3/2`

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Knowledge Check

  • If tan x = 3/4, pi lt x lt (3pi)/(2), then the value of cos ""x/2 is

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    `-(1)/(sqrt10)`
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    0

  • If tan x=3/4 pi lt x lt (3pi)/2 , then the value of "cos" x/2 is

    A
    `-1/sqrt10`
    B
    `3/sqrt10`
    C
    `1/sqrt10`
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    `- 3/sart10`

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