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If y =1-cosθ , x = 1-sinθ , then dy/dx at 0 =π/4  is - Mathematics and Statistics

Sum

If y =1 - cos θ , x = 1 - sin θ , then ` dy/dx  at " "θ =pi/4`  is ________

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Solution

`dy/dx=sintheta`

`(dx)/(d theta)=-cos theta`

`dy/dx=((dy)/(d theta))/((dx)/(d theta))=-sintheta/costheta=-tan theta`

`dy/dx = - tan (pi/4)`

`therefore dy/dx=-1`

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