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Byju's Answer
Standard X
Mathematics
Complementary Trigonometric Ratios
cos23π5+cos24...
Question
cos
2
3
π
5
+
cos
2
4
π
5
is equal to?
A
4
5
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B
5
2
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C
5
4
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D
3
4
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Solution
The correct option is
D
3
4
cos
2
3
π
5
+
cos
2
4
π
5
=
cos
2
(
10
8
0
)
+
cos
2
(
144
0
)
=
cos
2
(
90
0
+
18
0
)
+
cos
2
(
144
0
)
=
sin
2
18
0
+
sin
2
54
0
sin
18
0
=
√
5
−
1
4
sin
54
0
=
√
5
+
1
4
=
(
√
5
−
1
4
)
2
+
(
√
5
+
1
4
)
2
=
3
/
4
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0
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