Question

if x = a ( cos 2t + 2t sin 2t ) and y = a ( sin 2t - 2t cos 2t ) , then find dx/dy .​

Answer 1

ANSWER

x=a(cos2t+2tsin2t)

dt

dx

=a(−2sin2t+2sin2t+4tcos2t)=4at cos2t

dt

2

d

2

x

=4acos2t−8atSin2t

y=a(sin2t−2tcos2t)

dt

dy

=a(2cos2t−2cos2t+4tsin2t)=4atsin2t

dt

2

d

2

y

=4aSin2t+8atcos2t

So

dx

2

d

2

y

=

4Cos2t−8tSin2t

4Sin2t+8tCos2t