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Mathematics
Mathematics
Problem
If
x
=
2
cos
θ
−
cos
2
θ
x = 2 \cos \theta - \cos 2\theta
x
=
2
cos
θ
−
cos
2
θ
and
y
=
2
sin
θ
−
sin
2
θ
y = 2 \sin \theta - \sin 2\theta
y
=
2
sin
θ
−
sin
2
θ
, prove that
d
y
d
x
=
tan
(
3
θ
2
)
\frac{dy}{dx} = \tan \left( \frac{3\theta}{2} \right)
d
x
d
y
=
tan
(
2
3
θ
)
.
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