x=a(1−sin⁡t),y=a(1−cos⁡t) if dxdy=cot⁡p then p=

x=a(t−sin⁡t)⇒dxdt=a(1−cos⁡t)y=a(1−cos⁡t)⇒dydt=asin⁡t∴dydx=dydtdxdt=asin⁡ta(1−cos⁡t)=2sin⁡t2cos⁡t22sin2⁡t2=cot⁡t2⇒p=t2