323,618 views
33 votes
33 votes
Calculate dy/dx of x= 2a sin²t cos 2t
y= 2a sin²t sin 2t

User Wahwahwah
by
2.8k points

1 Answer

23 votes
23 votes

Answer:

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:

User Thesayhey
by
2.9k points