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Problem
Problem
The minimum value of the function
f
(
x
)
=
sin
x
1
−
cos
2
x
+
cos
x
1
−
sin
2
x
+
tan
x
sec
2
x
−
1
+
cot
x
csc
2
x
−
1
f(x) = \frac{\sin x}{\sqrt{1 - \cos^2 x}} + \frac{\cos x}{\sqrt{1 - \sin^2 x}} + \frac{\tan x}{\sqrt{\sec^2 x - 1}} + \frac{\cot x}{\sqrt{\csc^2 x - 1}}
f
(
x
)
=
1
−
cos
2
x
sin
x
+
1
−
sin
2
x
cos
x
+
sec
2
x
−
1
tan
x
+
csc
2
x
−
1
cot
x
whenever it is defined is a. 4 b. -2 c. 0 d. 2
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