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If y = tansin x + cos xcos x - sin xthendydxy = tan-1[sin x + cos xcos x - sin x],then dydx is equal to ____________. -

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Question

If `"y = tan"^-1 [("sin x + cos x")/("cos x - sin x")], "then"  "dy"/"dx"` is equal to ____________.

Options

  • `1/2`

  • `pi/4`

  • 0

  • 1

MCQ
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Solution

If `"y = tan"^-1 [("sin x + cos x")/("cos x - sin x")], "then"  "dy"/"dx"` is equal to 1.

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