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Problem
Problem
If
sin
100
θ
−
cos
100
θ
=
1
\sin^{100} \theta - \cos^{100} \theta = 1
sin
100
θ
−
cos
100
θ
=
1
, then
θ
\theta
θ
is a.
2
n
π
+
π
3
,
n
∈
I
2n\pi + \frac{\pi}{3}, n \in I
2
nπ
+
3
π
,
n
∈
I
b.
n
π
+
π
2
,
n
∈
I
n\pi + \frac{\pi}{2}, n \in I
nπ
+
2
π
,
n
∈
I
c.
n
π
+
π
4
,
n
∈
I
n\pi + \frac{\pi}{4}, n \in I
nπ
+
4
π
,
n
∈
I
d.
2
n
π
−
π
3
,
n
∈
I
2n\pi - \frac{\pi}{3}, n \in I
2
nπ
−
3
π
,
n
∈
I
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