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Byju's Answer
Standard XII
Mathematics
Domain
The maximum v...
Question
The maximum value of
4
sin
2
x
+
3
cos
2
x
is
A
3
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B
4
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C
5
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D
7
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Solution
The correct option is
C
4
Let
f
=
4
sin
2
x
+
3
cos
2
x
⇒
f
=
4
sin
2
x
+
3
(
1
−
sin
2
x
)
⇒
f
=
4
sin
2
x
+
3
−
3
sin
2
x
⇒
f
=
sin
2
x
+
3
We know that
3
is a constant and maximum value of
sin
x
=
1
Thus, the maximum value of the given expression can be
f
m
a
x
=
3
+
(
1
)
2
=
3
+
1
=
4
Suggest Corrections
0
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