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Byju's Answer
Standard XII
Mathematics
First Fundamental Theorem of Calculus
y = logcos 60...
Question
y
=
log
(
cos
60
+
i
sin
60
)
, then
(
cosh
y
)
is
A
1
2
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B
1
4
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C
1
8
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D
3
2
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Solution
The correct option is
B
1
2
y
=
log
(
cos
60
0
+
i
sin
60
0
)
=
log
(
e
i
60
)
=
60
i
Or,
π
3
i
cosh
y
=
cosh
π
3
i
=
e
π
3
i
+
e
−
π
3
i
2
=
cos
π
3
+
i
sin
π
3
+
cos
(
−
π
3
)
+
i
(
sin
(
−
π
3
)
)
2
=
1
2
+
1
2
2
=
1
2
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0
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