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Mathematics
Mathematics
Problem
The value of
sin
[
n
π
+
(
−
1
)
n
π
4
]
\sin \left[ n\pi + (-1)^n \frac{\pi}{4} \right]
sin
[
nπ
+
(
−
1
)
n
4
π
]
,
n
∈
I
n \in \mathbb{I}
n
∈
I
is [2020] (a) 0 (b)
1
2
\frac{1}{\sqrt{2}}
2
1
(c)
−
1
2
-\frac{1}{\sqrt{2}}
−
2
1
(d) None of these
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