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Byju's Answer
Standard XII
Mathematics
Convexity
Find the maxi...
Question
Find the maximum value of
y
=
2
sin
2
x
−
3
sin
x
+
1
∀
x
∈
R
.
Open in App
Solution
d
y
d
x
=
4
sin
x
cos
x
−
3
cos
x
d
y
d
x
=
0
4
sin
x
cos
x
−
3
cos
x
=
0
cos
x
(
4
sin
x
−
3
)
=
0
sin
x
=
3
4
cos
x
=
0
x
=
π
2
d
2
x
d
x
2
=
4
cos
2
x
−
sin
2
x
+
3
sin
x
d
2
x
d
x
2
<
0
y
=
2
sin
2
x
−
3
sin
x
+
1
y
=
2
×
1
−
3
×
1
+
1
⟹
2
−
3
+
1
=
0
y
m
a
x
=
0
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0
Similar questions
Q.
If
4
cos
2
x
sin
x
−
2
sin
2
x
=
3
sin
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, then find the value of x.
Q.
Which of the following set values of x satisfies the equation
2
(
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−
3
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x
+
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)
+
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The value of
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x
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sin
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Q.
Find the set of all values of
x
in the interval
[
0
,
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]
for which
2
s
i
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−
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s
i
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x
+
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≥
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Q.
Which of the following set of values of
x
satisfies the equation
2
2
sin
2
x
−
3
sin
x
+
1
+
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−
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sin
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x
+
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sin
x
=
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∈
Z
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