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Byju's Answer
Standard IX
Mathematics
Use of Trigonometric Table
Let y=cosxc...
Question
Let
y
=
cos
x
(
cos
x
−
cos
3
x
)
. then
y
is
A
≥
0
only when
x
≥
0
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B
≤
0
for all real
x
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C
≥
0
for all real
x
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D
≤
0
only when
x
≤
0
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Solution
The correct option is
C
≥
0
for all real
x
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0
Similar questions
Q.
Let
f
(
θ
)
=
s
i
n
θ
(
s
i
n
θ
+
s
i
n
3
θ
)
, then
f
(
θ
)
Q.
i) If
x
is a real number, then
|
x
|
=
{
x
,
i
f
x
≥
0
−
x
,
i
f
x
<
0
ii)
|
x
|
≥
0
for all real numbers
x
Q.
Let
f
(
x
+
y
)
=
f
(
x
)
f
(
y
)
for all
x
,
y
,
where
f
(
0
)
≠
0.
If
f
′
(
0
)
=
2
,
then
f
(
x
)
is equal to :
Q.
If
f
(
x
+
y
)
=
f
(
x
)
+
f
(
y
)
+
c
, for all real
x
and
y
and
f
(
x
)
is continuous at
x
=
0
and
f
′
(
0
)
=
1
then
f
′
(
x
)
equals to
Q.
Let f (x) = sinx + ax + b. Then f(x) = 0 has
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