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If x = a sinand y = b costhendydxx = a sin θ and y = b cos θ,then d2ydx2 is equal to ____________. -

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Question

If `"x = a sin"  theta  "and  y = b cos"  theta, "then"  ("d"^2 "y")/"dx"^2` is equal to ____________.

Options

  • `"a"/"b"^2  "sec"^2 theta`

  • `"b"/"a"  "sec"^2 theta`

  • `"b"/"a"^2  "sec"^3 theta`

  • `-"b"/"a"^2 "sec"^3 theta`

MCQ
Fill in the Blanks

Solution

If `"x = a sin"  theta  "and  y = b cos"  theta, "then"  ("d"^2 "y")/"dx"^2` is equal to `underline(-"b"/"a"^2 "sec"^3 theta)`.

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