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Mathematics
Mathematics
Problem
If
x
=
a
(
θ
−
sin
θ
)
x = a(\theta - \sin\theta)
x
=
a
(
θ
−
sin
θ
)
and
y
=
a
(
1
+
cos
θ
)
y = a(1 + \cos\theta)
y
=
a
(
1
+
cos
θ
)
then prove that
d
y
d
x
=
−
cot
(
θ
2
)
\frac{dy}{dx} = -\cot\left(\frac{\theta}{2}\right)
d
x
d
y
=
−
cot
(
2
θ
)
(J-16, 18)
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