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UPSC NDA Math Model Paper 1
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© examsnet.com
Question : 15
Total: 120
The longest period of
3
sin
x
−
4
sin
3
x
is?
2
π
π
3
2
π
3
None of the above
Validate
Solution:
Concept:
Period of a function:
If a function repeats over at a constant period we say that is a periodic function.
It is represented like
f
(
x
)
=
f
(
x
+
T
)
,
T
is the real number and this is the period of the function.
The period of
sin
x
and
cos
x
is
2
π
Calculation:
To Find: Period of
3
sin
x
−
4
sin
3
x
As we know
3
sin
x
−
4
sin
3
x
=
sin
3
x
Period of
sin
x
is
2
π
Therefore, Period of
sin
3
x
is
2
π
3
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