Remove parentheses.
\[ProblemsetY=\sin^{2}(4X)+\frac{1}{2}\cos{8}X\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[Probl{e}^{2}mstY=\sin^{2}(4X)+\frac{1}{2}\cos{8}X\]
Regroup terms.
\[Pr{e}^{2}tYoblms=\sin^{2}(4X)+\frac{1}{2}\cos{8}X\]
Simplify \(\frac{1}{2}\cos{8}X\) to \(\frac{\cos{8}X}{2}\).
\[Pr{e}^{2}tYoblms=\sin^{2}(4X)+\frac{\cos{8}X}{2}\]
Divide both sides by \(Pr\).
\[{e}^{2}tYoblms=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr}\]
Divide both sides by \({e}^{2}\).
\[tYoblms=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr}}{{e}^{2}}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr}}{{e}^{2}}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}}\).
\[tYoblms=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}}\]
Divide both sides by \(tY\).
\[oblms=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}}}{tY}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}}}{tY}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tY}\).
\[oblms=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tY}\]
Divide both sides by \(b\).
\[olms=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tY}}{b}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tY}}{b}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYb}\).
\[olms=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYb}\]
Divide both sides by \(l\).
\[oms=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYb}}{l}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYb}}{l}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYbl}\).
\[oms=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYbl}\]
Divide both sides by \(m\).
\[os=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYbl}}{m}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYbl}}{m}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblm}\).
\[os=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblm}\]
Divide both sides by \(s\).
\[o=\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblm}}{s}\]
Simplify \(\frac{\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblm}}{s}\) to \(\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblms}\).
\[o=\frac{\sin^{2}(4X)+\frac{\cos{8}X}{2}}{Pr{e}^{2}tYblms}\]
o=(sin(4*X)^2+(cos(8)*X)/2)/(Pr*e^2*tY*b*l*m*s)
