Find dy/dx at t=2pi+3 when x= 10(t - sin t) and y= 12(1 - cost)

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Please find below the solution to the asked query :

x= 10 t - sin tDifferentiating wrt t on both sides , we getdxdt=10 1 - cos ty =12 1- cos tDifferentiating wrt t on both sides , we getdydt=12 sin tNow,dydx=dydtdxdt=12 sin t10 1- cos tat t=2π3dydx=12 sin 2π310 1- cos 2π3=12 sin π-π310 1- cos π-π3=12 sin π310 1+cos π3=123210 1+12=6315=235    ANS...
 
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dy/dx=
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