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If
y
(
α
)
=
2
(
tan
α
+
cot
α
1
+
tan
2
α
)
+
1
sin
2
α
y(\alpha) = \sqrt{2 \left( \frac{\tan \alpha + \cot \alpha}{1 + \tan^2 \alpha} \right) + \frac{1}{\sin^2 \alpha}}
y
(
α
)
=
2
(
1
+
t
a
n
2
α
t
a
n
α
+
c
o
t
α
)
+
s
i
n
2
α
1
…
Mathematics
Problem
If
y
(
α
)
=
2
(
tan
α
+
cot
α
1
+
tan
2
α
)
+
1
sin
2
α
y(\alpha) = \sqrt{2 \left( \frac{\tan \alpha + \cot \alpha}{1 + \tan^2 \alpha} \right) + \frac{1}{\sin^2 \alpha}}
y
(
α
)
=
2
(
1
+
t
a
n
2
α
t
a
n
α
+
c
o
t
α
)
+
s
i
n
2
α
1
,
α
∈
(
3
π
4
,
π
)
\alpha \in \left( \frac{3\pi}{4}, \pi \right)
α
∈
(
4
3
π
,
π
)
then
d
y
d
α
\frac{dy}{d\alpha}
d
α
d
y
at
α
=
5
π
6
\alpha = \frac{5\pi}{6}
α
=
6
5
π
is (a) 4 (b) 2 (c) 3 (d) -4
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