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Mathematics
Mathematics
Problem
If
x
=
a
(
θ
+
sin
θ
)
x = a(\theta + \sin\theta)
x
=
a
(
θ
+
sin
θ
)
,
y
=
a
(
1
−
cos
θ
)
y = a(1 - \cos\theta)
y
=
a
(
1
−
cos
θ
)
then show that
d
y
d
x
=
tan
(
θ
2
)
\frac{dy}{dx} = \tan\left(\frac{\theta}{2}\right)
d
x
d
y
=
tan
(
2
θ
)
. (M-19, J-19)
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