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If x=cost"and"y=sint ,"p r o v et h a t...

If `x=cost"and"y=sint ,"p r o v et h a t"(dy)/(dx)=1/(sqrt(3))"at"t=(2pi)/3`

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Given`x=cost`
`dx/dt=-sint`...(1)`
`y=`sint`
`dy/dt=cost`
so, `dy/dx=-cott`
`dy/dx=-cot((2pi)/3)`
`dy/dx=-cot(pi-pi/3)`
...
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