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Byju's Answer
Standard XII
Physics
Wave Speed expression
The graphs of...
Question
The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area
A
. Then
A
4
is equal to
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Solution
A
=
5
π
4
∫
π
4
(
sin
x
−
cos
x
)
d
x
=
[
−
cos
x
−
sin
x
]
5
π
/
4
π
/
4
=
−
[
(
cos
5
π
4
+
sin
5
π
4
)
−
(
cos
π
4
+
sin
π
4
)
]
=
−
[
(
−
1
√
2
−
1
√
2
)
−
(
1
√
2
+
1
√
2
)
]
=
4
√
2
=
2
√
2
⇒
A
4
=
(
2
√
2
)
4
=
64
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