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Byju's Answer
Standard XI
Mathematics
Trigonometric Functions
The domain of...
Question
The domain of the function
f
(
x
) = sin2
x
is
फलन
f
(
x
) = sin2
x
का प्रांत है
A
[–1, 1]
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B
[
−
1
2
,
1
2
]
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C
[
−
π
2
,
π
2
]
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D
R
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Solution
The correct option is
D
R
Solution
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9
Similar questions
Q.
Let
f
(
x
)
=
sin
2
x
+
sin
2
(
x
+
π
3
)
+
cos
x
cos
(
x
+
π
3
)
,
h
(
x
)
=
√
f
2
(
x
)
−
1
and
g
(
3
4
)
=
1
. Then
(
g
∘
h
)
(
x
)
is
Q.
The function
f
(
x
)
is defined on the interval
[
0
,
1
]
. Find the domain of the function:
f
(
2
x
+
3
)
Q.
A function f:
R
→
R
satisfies
sin
x
cos
y
[
f
(
2
x
+
2
y
)
−
f
(
2
x
−
2
y
)
]
=
cos
x
sin
y
[
f
(
2
x
+
2
y
)
+
f
(
2
x
−
2
y
)
]
.
If
f
′
(
0
)
=
1
2
, then
Q.
If
f
1
(
x
)
and
f
2
(
x
)
are defined on domains
D
1
and
D
2
respectively, then
f
1
(
x
)
+
f
2
(
x
)
is defined on
D
1
∩
D
2
.
Q.
A function f(x, y) is defined for non - negative integers
I. f(0, 0) = 0
II. f(2x, 2y) = f(2x + 1, 2y + 1) = f(x, y)
III. f(2x + 1, 2y) = f(2x, 2y + 1) = f(x, y) + 1
What is the value of f(11, 5)?
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