find x and y if sin ( 2x + y) = 1/2 and cos (x-2y)
Answers
Answered by
2
Answer:
We have sin
2
x+cos
2
y=1
Differentiating both sides w.r.t. x, we obtain
dx
d
(sin
2
x+cos
2
y)=
dx
d
(1)
⇒2sinx.
dx
d
(sinx)+2cosy.
dx
d
(cosy)=0
⇒2sinxcosx+2cosy(−siny).
dx
dy
=0
⇒sin2x−sin2y
dx
dy
=0
∴
dx
dy
=
sin2y
sin2x
Similar questions