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Mathematics
Mathematics
Problem
For real constants
a
a
a
and
b
b
b
, the greatest possible value of the expression
a
sin
x
+
b
cos
x
a\sin x + b\cos x
a
sin
x
+
b
cos
x
equals a)
∣
a
+
b
∣
|a+b|
∣
a
+
b
∣
b)
a
2
+
b
2
a^{2}+b^{2}
a
2
+
b
2
c)
a
2
+
b
2
\sqrt{a^{2}+b^{2}}
a
2
+
b
2
d)
∣
a
∣
+
∣
b
∣
|a|+|b|
∣
a
∣
+
∣
b
∣
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