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Test Index
NDA Math Trigonometric Ratios of Angles and Equations Part 2
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© examsnet.com
Question : 22
Total: 75
What is the period of the function
f
(
x
)
=
ln
(
2
+
s
i
n
2
x
)
?
[NDA-II 2021]
π
2
π
2
π
3
π
Validate
Solution:
👈: Video Solution
(b)
f
(
x
)
=
ln
(
2
+
sin
2
x
)
∵
Period of
sin
2
x
is
π
.
and
f
(
π
+
x
)
=
log
{
2
+
sin
2
(
π
+
x
)
}
=
log
{
2
+
sin
2
x
}
=
f
(
x
)
Hence, period of
ln
(
2
+
sin
2
x
)
=
π
∴
Option (b) is correct.
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