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Byju's Answer
Standard XII
Mathematics
Evaluation of a Determinant
Prove that 23...
Question
Prove that
2
3
+
3
sin
x
+
2
3
cos
x
lies between
-
2
3
+
15
and
2
3
+
15
.
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Solution
Let
f
x
=
(
2
3
+
3
)
sin
x
+
2
3
cos
x
We
know
that
,
-
2
3
+
3
2
+
2
3
2
≤
f
x
≤
2
3
+
3
2
+
2
3
2
⇒
-
12
+
9
+
12
3
+
12
≤
f
x
≤
12
+
9
+
12
3
+
12
⇒
-
33
+
12
3
≤
f
x
≤
33
+
12
3
Disclaimer
:
Instead
of
-
2
3
+
15
and
2
3
+
15
,
it
should
be
-
33
+
12
3
and
33
+
12
3
.
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