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Problem
Problem
The number of all possible 5-tuples
(
a
1
,
a
2
,
a
3
,
a
4
,
a
5
)
(a_1, a_2, a_3, a_4, a_5)
(
a
1
,
a
2
,
a
3
,
a
4
,
a
5
)
such that
a
1
+
a
2
sin
x
+
a
3
cos
x
+
a
4
sin
2
x
+
a
5
cos
2
x
=
0
a_1 + a_2 \sin x + a_3 \cos x + a_4 \sin 2x + a_5 \cos 2x = 0
a
1
+
a
2
sin
x
+
a
3
cos
x
+
a
4
sin
2
x
+
a
5
cos
2
x
=
0
holds for all
x
x
x
is a. zero b. 1 c. 2 d. infinite
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