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Byju's Answer
Standard XII
Mathematics
Properties Derived from Trigonometric Identities
If sin2π/8 ...
Question
If
sin
2
π
8
+
sin
2
3
π
8
+
sin
2
5
π
8
+
sin
2
7
π
8
=
m
.Find
m
Open in App
Solution
sin
2
π
8
+
sin
2
3
π
8
+
sin
2
5
π
8
+
sin
2
7
π
8
sin
2
π
8
+
sin
2
3
π
8
+
sin
2
(
π
2
+
π
8
)
+
sin
2
(
π
2
+
3
π
8
)
sin
2
π
8
+
sin
2
3
π
8
+
cos
2
5
π
8
+
cos
2
7
π
8
(
sin
2
π
8
+
cos
2
π
8
)
+
(
sin
2
3
π
8
+
cos
2
3
π
8
)
1
+
1
=
2
m
=
2
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Similar questions
Q.
Solve
sin
2
π
8
+
sin
2
3
π
8
+
sin
2
5
π
8
+
sin
2
7
π
8
Q.
Prove sin2 π/8 + sin2 3π/8 + sin2 5π/8 + sin2 7π/8 = 2
Q.
The value of
sin
2
π
8
+
sin
2
3
π
8
+
sin
2
5
π
8
+
sin
2
7
π
8
is
Q.
Prove that:
s
i
n
2
π
8
+
s
i
n
2
3
π
8
+
s
i
n
2
5
π
8
+
s
i
n
2
7
π
8
=
2
Q.
Evaluate
s
i
n
2
(
π
4
)
+
s
i
n
2
(
3
π
4
)
+
s
i
n
2
(
5
π
4
)
+
s
i
n
2
(
7
π
4
)
.
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