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Byju's Answer
Standard XII
Mathematics
Property 4
Write the max...
Question
Write the maximum value of 12 sin x − 9 sin
2
x.
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Solution
Let
f
x
=
12
sin
x
-
9
sin
2
x
=
-
9
sin
2
x
-
12
sin
x
=
-
3
sin
x
2
-
2
.
3
sin
x
.
2
+
2
2
-
4
=
-
3
sin
x
-
2
2
-
4
=
4
-
3
sin
x
-
2
2
Minimum
value
of
3
sin
x
-
2
2
is
0
.
Therefore
,
maximum
value
of
4
-
3
sin
x
-
2
2
would
be
4
.
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