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Solve for x : x coscotxsincotx{x cos(cot-1x)+sin(cot-1x)}2 = ____________. -

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Question

Solve for x : `{"x cos" ("cot"^-1 "x") + "sin" ("cot"^-1 "x")}^2` = `51/50

Options

  • `1/sqrt2`

  • `1/(5sqrt2)`

  • `2sqrt2`

  • `5/sqrt2`

MCQ
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Solution

Solve for x : `{"x cos" ("cot"^-1 "x") + "sin" ("cot"^-1 "x")}^2` = `underline(1/(5sqrt2))`.

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