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AP EAPCET 20-Aug-2021 Shift 2 Paper
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Section:
Mathematics
© examsiri.com
Question :
24 of 160
Marks:
+1
,
-0
sinh
(
x
+
y
)
‌
cosh
(
x
−
y
)
is equal to
1
2
(
sinh
‌
2
‌
x
+
sinh
‌
2
‌
y
)
(
sinh
‌
2
‌
x
+
sinh
‌
2
‌
y
)
1
2
(
sinh
‌
2
‌
x
−
sinh
‌
2
‌
y
)
(
sinh
‌
2
‌
x
−
sinh
‌
2
‌
y
)
Validate
Solution:
∵
sinh
‌
A
+
sinh
‌
B
=
2
‌
sinh
(
A
+
B
2
)
‌
cosh
(
A
−
B
2
)
Let
frac
‌
A
+
B
2
=
x
+
y
⇒
A
+
B
=
2
x
+
2
y
and
A
−
B
=
2
x
−
2
y
Adding, we obtain
2
A
=
4
x
⇒
A
=
2
x
Subtracting, we obtain
2
B
=
4
y
⇒
B
=
2
y
∴
2
‌
sinh
(
x
+
y
)
‌
cosh
(
x
−
y
)
=
sinh
‌
2
‌
x
+
sinh
‌
2
‌
y
⇒
sinh
(
x
+
y
)
‌
cosh
(
x
−
y
)
=
1
2
[
sinh
‌
2
‌
x
+
sinh
‌
2
‌
y
]
© examsiri.com
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