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Mathematics
Mathematics
Problem
If
α
\alpha
α
,
β
\beta
β
are the roots of the equation
cot
−
1
x
−
cot
−
1
(
x
+
2
)
=
15
∘
\cot^{-1}x - \cot^{-1}(x+2) = 15^\circ
cot
−
1
x
−
cot
−
1
(
x
+
2
)
=
1
5
∘
, then the value of
−
(
α
+
β
)
-(\alpha + \beta)
−
(
α
+
β
)
is equal to \_\_\_\_\_\_.
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