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47. If x=Asin...

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47. If x=Asin ω t Find its x-t graph

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x = \sqrt{a^{{sin}^{- 1} t}}

y = \sqrt{a^{{cos}^{- 1} t}}

a > 0

- 1 < t < 1

\frac{d y}{d x} =

x = \sqrt{a^{{sin}^{- 1} t}}

y = \sqrt{a^{{cos}^{- 1} t}}

\frac{d y}{d x} =

x = \sqrt{a^{{sin}^{- 1} t}}, y = \sqrt{a^{{cos}^{- 1} t}}

\frac{d y}{d x} = - \frac{y}{x}

x = \sqrt{a^{s i n^{- 1} t}}

y = \sqrt{a^{c o s^{- 1} t}}

\frac{d y}{d x} = \frac{- y}{x}

x = \sqrt{a^{{sin}^{- 1_{t}}}}

y = \sqrt{a^{{cos}^{- 1_{t}}}}

\frac{d y}{d x}

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