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Problems
If
tan
15
∘
+
1
tan
75
∘
+
1
tan
105
∘
+
tan
195
∘
=
2
a
\tan 15^\circ + \frac{1}{\tan 75^\circ} + \frac{1}{\tan 105^\circ} + \tan 195^\circ = 2a
tan
1
5
∘
+
t
a
n
7
5
∘
1
+
t
a
n
10
5
∘
1
+
tan
19
5
∘
=
2
a
…
Mathematics
Problem
If
tan
15
∘
+
1
tan
75
∘
+
1
tan
105
∘
+
tan
195
∘
=
2
a
\tan 15^\circ + \frac{1}{\tan 75^\circ} + \frac{1}{\tan 105^\circ} + \tan 195^\circ = 2a
tan
1
5
∘
+
t
a
n
7
5
∘
1
+
t
a
n
10
5
∘
1
+
tan
19
5
∘
=
2
a
, then the value of
(
a
+
1
a
)
\left(a + \frac{1}{a}\right)
(
a
+
a
1
)
is:
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