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Mathematics
Mathematics
Problem
If
x
+
y
+
z
=
0
\mathbf{x} + \mathbf{y} + \mathbf{z} = 0
x
+
y
+
z
=
0
,
∣
x
∣
=
∣
y
∣
=
∣
z
∣
=
2
|\mathbf{x}| = |\mathbf{y}| = |\mathbf{z}| = 2
∣
x
∣
=
∣
y
∣
=
∣
z
∣
=
2
and
θ
\theta
θ
is the angle between
y
\mathbf{y}
y
and
z
\mathbf{z}
z
, then the value of
csc
2
θ
+
cot
2
θ
\csc^2 \theta + \cot^2 \theta
csc
2
θ
+
cot
2
θ
is equal to a.
4
/
3
4/3
4/3
b.
5
/
3
5/3
5/3
c.
1
/
3
1/3
1/3
d. 1
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