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Mathematics
Mathematics
Problem
Identify the set of all real values of
θ
\theta
θ
for which
csc
θ
\csc \theta
csc
θ
is undefined. a)
θ
=
(
2
n
+
1
)
π
2
,
n
∈
Z
\theta = (2n+1)\dfrac{\pi}{2},\, n\in\mathbb Z
θ
=
(
2
n
+
1
)
2
π
,
n
∈
Z
b)
θ
=
(
2
n
+
1
)
π
,
n
∈
Z
\theta = (2n+1)\pi,\, n\in\mathbb Z
θ
=
(
2
n
+
1
)
π
,
n
∈
Z
c)
θ
=
n
π
,
n
∈
Z
\theta = n\pi,\, n\in\mathbb Z
θ
=
nπ
,
n
∈
Z
d)
θ
=
n
π
2
,
n
∈
Z
\theta = n\dfrac{\pi}{2},\, n\in\mathbb Z
θ
=
n
2
π
,
n
∈
Z
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