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Tardigrade
Question
Mathematics
The value of 4sinα sin(α+(π/3))sin(α +(2π/3))=
Q. The value of
4
s
in
α
s
in
(
α
+
3
π
)
s
in
(
α
+
3
2
π
)
=
12660
266
Trigonometric Functions
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A
s
in
3
α
38%
B
s
in
2
α
28%
C
s
in
α
18%
D
s
i
n
2
α
16%
Solution:
We have,
4
s
in
α
s
in
(
α
+
3
π
)
s
in
(
α
+
3
2
π
)
=
2
s
in
α
{
2
s
in
(
α
+
3
2
π
)
s
in
(
α
+
3
π
)
}
=
2
s
in
α
[
2
s
in
(
α
+
12
0
∘
)
s
in
(
α
+
6
0
∘
)
]
=
2
s
in
α
[
cos
(
α
+
12
0
∘
−
α
−
6
0
∘
)
−
cos
(
α
+
12
0
∘
+
α
+
6
0
∘
)]
=
2
s
ina
[
cos
6
0
∘
−
cos
(
18
0
∘
+
2
α
)]
=
2
s
in
α
⋅
2
1
−
2
s
in
α
(
−
cos
2
α
)
=
s
in
α
+
2
cos
2
α
s
in
α
=
s
in
α
+
s
in
(
2
α
+
α
)
−
s
in
(
2
α
−
α
)
=
s
in
α
+
s
in
3
α
−
s
in
α
=
s
in
3
α