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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
Solve: ∫sin ...
Question
Solve:
∫
sin
(
x
−
α
)
sin
(
x
+
α
)
d
x
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Solution
∫
sin
(
x
−
α
)
sin
(
x
−
α
)
d
x
=
∫
sin
[
(
x
+
α
)
−
2
α
]
sin
(
x
+
α
)
d
x
=
∫
[
sin
(
x
+
α
)
cos
2
α
−
cos
(
x
+
α
.
sin
2
α
]
sin
(
x
+
α
)
d
x
=
∫
[
cos
2
α
−
cot
(
x
+
α
)
sin
2
α
]
d
x
=
cos
2
α
∫
d
x
−
sin
2
α
∫
cot
(
x
+
α
)
d
x
=
x
cos
2
α
−
sin
2
α
.
log
|
(
sin
(
x
+
α
)
|
+
C
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Similar questions
Q.
∫
sin
(
x
−
α
)
sin
(
x
+
α
)
d
x
.
Q.
If
∫
sin
x
sin
(
x
−
α
)
d
x
=
A
x
+
B
log
|
sin
(
x
−
α
)
|
+
C
, then
Q.
If
I
=
∫
sin
(
x
+
α
)
+
cos
x
sin
(
x
−
α
)
d
x
, then I equals
Q.
If
∫
sin
x
sin
(
x
−
α
)
d
x
=
p
x
−
q
log
|
sin
(
x
−
α
)
|
+
C
, Then the value of
p
q
is
Q.
If
∫
sin
x
sin
(
x
−
α
)
d
x
=
A
x
+
B
log
sin
(
x
−
α
)
+
C
,
then value of
(
A
,
B
)
is
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