Question

Calculate dy/dx of x= 2a sin²t cos 2t
y= 2a sin²t sin 2t

Answer 1

x=sint

Differentiating w.r.t. t, we get,

dt

dx

​

=cost

y=cos2t

Differentiating w.r.t. t, we get,

dt

dy

​

=−2sin2t

Thus,

dx

dy

​

=−

cost

2sin2t

​

dx

dy

​

=

cost

−4sintcost

​

=−4sint

Explanation: