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Mathematics
Mathematics
Problem
The number of values of
α
\alpha
α
in
[
0
,
2
π
]
[0, 2\pi]
[
0
,
2
π
]
for which
2
sin
3
α
−
7
sin
2
α
+
7
sin
α
=
2
2 \sin^3 \alpha - 7 \sin^2 \alpha + 7 \sin \alpha = 2
2
sin
3
α
−
7
sin
2
α
+
7
sin
α
=
2
, is : (1) 6 (2) 1 (3) 4 (4) 3
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