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Mathematics
Mathematics
Problem
If
x
+
y
=
4
π
3
x + y = \frac{4\pi}{3}
x
+
y
=
3
4
π
and
sin
x
=
2
sin
y
\sin x = 2 \sin y
sin
x
=
2
sin
y
, then a.
x
=
n
π
+
π
2
,
n
∈
I
x = n\pi + \frac{\pi}{2}, n \in I
x
=
nπ
+
2
π
,
n
∈
I
b.
y
=
5
π
6
−
n
π
,
n
∈
I
y = \frac{5\pi}{6} - n\pi, n \in I
y
=
6
5
π
−
nπ
,
n
∈
I
c. Both (a) and (b) d. None of the above
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