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Mathematics
Mathematics
Problem
A trigonometric function
h
(
x
)
h(x)
h
(
x
)
has vertical asymptotes at
x
=
−
π
2
+
n
π
x=-\dfrac{\pi}{2}+n\pi
x
=
−
2
π
+
nπ
, where
n
n
n
is any integer, and the graph passes through the origin. Which of the following could be
h
(
x
)
h(x)
h
(
x
)
? a)
cot
x
\cot x
cot
x
b)
sec
x
\sec x
sec
x
c)
tan
x
\tan x
tan
x
d)
tan
(
x
+
π
2
)
\tan\left(x+\dfrac{\pi}{2}\right)
tan
(
x
+
2
π
)
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