The expression
sin
(
x
)
cos
(
x
)
−
cos
3
(
x
)
\displaystyle \frac{{\sin{{\left({x}\right)}}}}{{{\cos{{\left({x}\right)}}}-{{\cos}^{{3}}{\left({x}\right)}}}}
cos
(
x
)
−
cos
3
(
x
)
sin
(
x
)
simplifies to
f
(
x
)
sin
(
x
)
\displaystyle \frac{{f{{\left({x}\right)}}}}{{\sin{{\left({x}\right)}}}}
sin
(
x
)
f
(
x
)
. Determine
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
.
f
(
x
)
=
\displaystyle {f{{\left({x}\right)}}}=
f
(
x
)
=
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