lenishpandey
lenishpandey lenishpandey
  • 08-11-2020
  • Mathematics
contestada


Find dy/dx when x = tant and y = sint cost.​

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hnori22003
hnori22003 hnori22003
  • 08-11-2020

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[tex] \frac{y}{x} = \frac{ \sin(t) }{ \tan(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{( \sin(t))'}{( \tan(t))'} \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ {sec}^{2}(t) } \\ [/tex]

[tex] \frac{dy}{dx} = \frac{ \cos(t) }{ \frac{1}{ {cos}^{2}(t) } } \\ [/tex]

[tex] \frac{dy}{dx} = {cos}^{3}(t) \\ [/tex]

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