For the curve x=3cos⁡θ, y=3sin⁡θ,0≤θ≤π, the tangent is parallel to the x-axis, where θ =

For the curve x=3cosθ, y=3sinθ,0θπ, the tangent is parallel to the x-axis, where θ =

  1. A

    π

  2. B

    0

  3. C

    π3

  4. D

    π2

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    Solution:

    For the tangent to be parallel to x-axis, we must
    have

    dydx=0dydθdxdθ=03cosθ3sinθ=0cotθ=0θ=π2

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