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Mathematics
Mathematics
Problem
Let
F
(
x
)
=
(
3
sin
x
+
4
cos
x
)
(
4
sin
x
−
3
cos
x
)
F(x)=\bigl(3\sin x + 4\cos x\bigr)\bigl(4\sin x - 3\cos x\bigr)
F
(
x
)
=
(
3
sin
x
+
4
cos
x
)
(
4
sin
x
−
3
cos
x
)
. The greatest value of
F
(
x
)
F(x)
F
(
x
)
is a)
25
25
25
b)
193
\sqrt{193}
193
c)
25
2
\dfrac{25}{2}
2
25
d)
15
15
15
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