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bixtya [17]
3 years ago
15

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

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

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\frac{y}{x}  =  \frac{  \sin(t)  }{  \tan(t)  }  \\

\frac{dy}{dx}  =  \frac{( \sin(t))'}{( \tan(t))'}  \\

\frac{dy}{dx}  =  \frac{ \cos(t) }{ {sec}^{2}(t) }  \\

\frac{dy}{dx}  =  \frac{ \cos(t) }{ \frac{1}{ {cos}^{2}(t) } }  \\

\frac{dy}{dx}  =  {cos}^{3}(t)  \\

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