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Find dy/dx, x=a cos'theta', y=a sin...

Find `dy/dx,`
`x=a cos'theta', y=a sin theta.

Text Solution

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`x=a cos theta,y=a sin theta `
Then `dx/(d theta)=-a sin theta `
`dy/(d theta)=a cos theta fracdy/d theta`
`dy/dx=(dy/(d theta))/((dx)/(d theta))=(a costheta)/(-a sin theta) =-cot theta`
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