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Byju's Answer
Standard XII
Mathematics
Domain and Range of Trigonometric Ratios
Maximum value...
Question
Maximum value of
sin
θ
+
cos
θ
in
[
0
,
π
2
]
is
A
√
2
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B
2
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C
0
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D
−
√
2
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Solution
The correct option is
B
√
2
We know that maximum value of
a
sin
θ
+
b
cos
θ
is
√
a
2
+
b
2
∴
Maximum value of
sin
θ
+
cos
θ
=
√
1
+
1
=
√
2
Suggest Corrections
0
Similar questions
Q.
The minimum value of
cos
θ
+
sin
θ
+
2
sin
2
θ
for
θ
∈
(
0
,
π
2
)
, is
Q.
Assertion :The system of linear equations
x
+
(
sin
θ
)
y
+
(
cos
θ
)
z
=
0
x
+
(
cos
θ
)
y
+
(
sin
θ
)
z
=
0
x
−
(
sin
θ
)
y
−
(
cos
θ
)
z
=
0
has a non-trivial solution for only one value of
θ
lying in the interval
(
0
,
π
2
)
. Reason: The equation in
θ
∣
∣ ∣
∣
cos
θ
sin
θ
cos
θ
sin
θ
cos
θ
sin
θ
cos
θ
−
sin
θ
−
cos
θ
∣
∣ ∣
∣
=
0
has only one solution lying in the interval
(
0
,
π
2
)
.
Q.
The minimum value of the function f(x) =
∫
x
0
d
θ
c
o
s
θ
+
∫
π
/
2
x
d
θ
s
i
n
θ
where
x
∈
[
0
,
π
2
]
,
is
Q.
If
cos
θ
−
sin
θ
=
1
5
where
0
<
θ
<
π
2
Q.
1
)
Principal value of
cos
θ
=
−
1
is
π
2
)
Principal value of
sin
θ
=
0
is
π
Which of the above statement is correct?
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