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Problem
Problem
The minimum and maximum values of
a
b
sin
x
+
b
(
1
−
a
2
)
cos
x
+
c
ab \sin x + b\sqrt{(1-a^2)} \cos x + c
ab
sin
x
+
b
(
1
−
a
2
)
cos
x
+
c
(
∣
a
∣
<
1
,
b
>
0
|a| < 1, b > 0
∣
a
∣
<
1
,
b
>
0
) respectively are a.
{
b
−
c
,
b
+
c
}
\{b-c, b+c\}
{
b
−
c
,
b
+
c
}
b.
{
b
+
c
,
b
−
c
}
\{b+c, b-c\}
{
b
+
c
,
b
−
c
}
c.
{
c
−
b
,
b
+
c
}
\{c-b, b+c\}
{
c
−
b
,
b
+
c
}
d. None of these
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