Simplify
sin
(
8
x
)
+
sin
(
2
x
)
cos
(
8
x
)
−
cos
(
2
x
)
\displaystyle \frac{{{\sin{{\left({8}{x}\right)}}}+{\sin{{\left({2}{x}\right)}}}}}{{{\cos{{\left({8}{x}\right)}}}-{\cos{{\left({2}{x}\right)}}}}}
cos
(
8
x
)
−
cos
(
2
x
)
sin
(
8
x
)
+
sin
(
2
x
)
to an expression involving a single trigonometric function.
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