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Mathematics
Mathematics
Problem
The number of all possible triplets
(
a
1
,
a
2
,
a
3
)
(a_1, a_2, a_3)
(
a
1
,
a
2
,
a
3
)
such that
a
1
+
a
2
cos
2
x
+
a
3
sin
2
x
=
0
a_1 + a_2 \cos 2x + a_3 \sin^2 x = 0
a
1
+
a
2
cos
2
x
+
a
3
sin
2
x
=
0
for all
x
x
x
is a. 0 b. 1 c. 3 d. Infinite
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