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Mathematics
Mathematics
Problem
If
x
=
a
(
cos
θ
+
θ
sin
θ
)
x = a(\cos \theta + \theta \sin \theta)
x
=
a
(
cos
θ
+
θ
sin
θ
)
,
y
=
a
(
sin
θ
−
θ
cos
θ
)
y = a(\sin \theta - \theta \cos \theta)
y
=
a
(
sin
θ
−
θ
cos
θ
)
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
cos
θ
\cos \theta
cos
θ
(b)
tan
θ
\tan \theta
tan
θ
(c)
sec
θ
\sec \theta
sec
θ
(d)
cosec
θ
\operatorname{cosec} \theta
cosec
θ
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