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Byju's Answer
Standard XII
Mathematics
Trigonometric Ratios of Compound Angles
If sinθ/sin 2...
Question
If
sin
θ
sin
2
(
π
8
+
θ
2
)
−
sin
2
(
π
8
−
θ
2
)
=
k
(
θ
≠
2
n
π
)
, then value of
2
k
2
is
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Solution
sin
θ
sin
2
(
π
8
+
θ
2
)
−
sin
2
(
π
8
−
θ
2
)
=
k
⇒
k
=
sin
θ
sin
(
π
8
+
θ
2
+
π
8
−
θ
2
)
⋅
sin
(
π
8
+
θ
2
−
π
8
+
θ
2
)
⇒
k
=
sin
θ
sin
π
4
⋅
sin
θ
=
√
2
∴
2
k
2
=
4
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10
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