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Byju's Answer
For the equat...
Question
For the equation
a
sin
x
+
b
cos
x
=
c
to have solution,
c
√
a
2
+
b
2
can take any value.
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Similar questions
Q.
The number of solution(s) of the equation
a
sin
x
+
b
cos
x
=
c
where
|
c
|
>
√
a
2
+
b
2
is
:
Q.
Solution of the equation
a
sin
x
+
b
cos
x
=
c
exits if and only if
|
c
|
≥
√
a
2
+
b
2
Q.
The equation
a
sin
x
+
b
cos
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=
c
, where
|
c
|
>
√
a
2
+
b
2
has
Q.
Assertion :The largest and smallest value of
f
(
θ
)
differs by
1
√
2
Reason:
a
sin
x
+
b
cos
x
+
c
∈
[
c
−
√
a
2
+
b
2
,
c
+
√
a
2
+
b
2
]
∀
x
∈
R
where
a
,
b
,
c
∈
R
Q.
For real a, b and x
−
√
(
a
2
+
b
2
)
≤
a
s
i
n
x
+
b
c
o
s
x
≤
√
(
a
2
+
b
2
)
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