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Mathematics
Mathematics
Problem
Identify the set of all real angles for which the identity
1
+
cot
2
θ
=
csc
2
θ
1+\cot^2\theta=\csc^2\theta
1
+
cot
2
θ
=
csc
2
θ
is NOT defined. a)
θ
=
(
2
n
+
1
)
π
2
,
n
∈
Z
\theta=\dfrac{(2n+1)\pi}{2},\; n\in\mathbb Z
θ
=
2
(
2
n
+
1
)
π
,
n
∈
Z
b)
θ
=
n
π
,
n
∈
Z
\theta=n\pi,\; n\in\mathbb Z
θ
=
nπ
,
n
∈
Z
c)
θ
=
n
π
2
,
n
∈
Z
\theta=\dfrac{n\pi}{2},\; n\in\mathbb Z
θ
=
2
nπ
,
n
∈
Z
d)
θ
=
(
2
n
+
1
)
π
,
n
∈
Z
\theta=(2n+1)\pi,\; n\in\mathbb Z
θ
=
(
2
n
+
1
)
π
,
n
∈
Z
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