1.

Find `(dy)/(dx),`if `y=12(1-cost), x=10(t-sint),-pi/2

Answer» `y=12(1-cost)`
`implies(dy)/(dt)=12sint`
`x=10(t-sint)`
`implies(dx)/(dt)=10(1-cos t)`
` :. (dy)/(dx)=(dy//dt)/(dx//dt)=(12sint)/(10(1-cost))`
`=(6)/(5)*(2"sin"(t)/(2)"cos"(t)/(2))/(2"sin"^(2)(t)/(2))=(6)/(5)"cot"(t)/(2)`


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