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If xthen the value of tantan xtansinxcosxx∈(-π2,π2),then the value of tan-1(tan x4)+tan-1(3sin2x5+3cos2x) is ____________. -

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Question

If `"x" in (- pi/2, pi/2), "then the value of tan"^-1 ("tan x"/4) + "tan"^-1 ((3 "sin" 2 "x")/(5 + 3 "cos" 2 "x"))` is ____________.

Options

  • `"x"/2`

  • 2x

  • 3x

  • x

MCQ
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Solution

If `"x" in (- pi/2, pi/2), "then the value of tan"^-1 ("tan x"/4) + "tan"^-1 ((3 "sin" 2 "x")/(5 + 3 "cos" 2 "x"))` is x.

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