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Sinpcosqsinpθ cosqθ attains a maximum, when θ = ____________. -

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Question

`"sin"^"p" theta  "cos"^"q" theta` attains a maximum, when `theta` = ____________.

Options

  • `"tan"^-1 sqrt("p"/"q")`

  • `"tan"^-1 ("p"/"q")`

  • `"tan"^-1 "q"`

  • `"tan"^-1 ("q"/"p")`

MCQ
Fill in the Blanks

Solution

`"sin"^"p" theta  "cos"^"q" theta` attains a maximum, when `theta` = `underline("tan"^-1 sqrt("p"/"q"))`.

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