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Problem
Problem
If
M
M
M
and
m
m
m
are maximum and minimum value of the function
f
(
x
)
=
tan
2
x
+
4
tan
x
+
9
1
+
tan
2
x
f(x) = \frac{\tan^2 x + 4 \tan x + 9}{1 + \tan^2 x}
f
(
x
)
=
1
+
t
a
n
2
x
t
a
n
2
x
+
4
t
a
n
x
+
9
, then
(
M
+
m
)
(M + m)
(
M
+
m
)
equals a. 20 b. 14 c. 10 d. 8
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