Question

find the value of dy/dx if x=a(cos t +log tan t/2),y=a sin t

Answer 1

dy/dt=acost
dx/dt=a(-sint+1/(tant/2)(1/2sec^t/2))
dy/dx=acost/a(-sint+1/(tant/2)(1/2sec^t/2))
dy/dx=cost/(-sint+1/2(cot(t/2)+tant/2)