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Cosx = sinxx2 cos-1x = sin-1(2x1-x2) is true for ____________. -

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Question

`2  "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for ____________.

Options

  • all x

  • x > 0

  • `"x" in [-1, 1]`

  • `1/sqrt2 le "x" le 1`

MCQ
Fill in the Blanks

Solution

`2  "cos"^-1 "x = sin"^-1 (2"x" sqrt(1 - "x"^2))` is true for `underline(1/sqrt2 le "x" le 1)`.

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