Question

$$\left. \begin{array} { l } { \tan A = \sqrt { 3 } } \\ { \sin A } \end{array} \right.$$

Answer

$$w=tanA/(eVa*e*fA*IM*h^2*a*t^2*s*l*v*o)$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[tanA=w{h}^{2}a{t}^{2}\imath seValveofA\]
Regroup terms.
\[tanA=eVaefA\imath w{h}^{2}a{t}^{2}slvo\]
Divide both sides by \(eVa\).
\[\frac{tanA}{eVa}=efA\imath w{h}^{2}a{t}^{2}slvo\]
Divide both sides by \(e\).
\[\frac{\frac{tanA}{eVa}}{e}=fA\imath w{h}^{2}a{t}^{2}slvo\]
Simplify  \(\frac{\frac{tanA}{eVa}}{e}\)  to  \(\frac{tanA}{eVae}\).
\[\frac{tanA}{eVae}=fA\imath w{h}^{2}a{t}^{2}slvo\]
Divide both sides by \(fA\).
\[\frac{\frac{tanA}{eVae}}{fA}=\imath w{h}^{2}a{t}^{2}slvo\]
Simplify  \(\frac{\frac{tanA}{eVae}}{fA}\)  to  \(\frac{tanA}{eVaefA}\).
\[\frac{tanA}{eVaefA}=\imath w{h}^{2}a{t}^{2}slvo\]
Divide both sides by \(\imath \).
\[\frac{\frac{tanA}{eVaefA}}{\imath }=w{h}^{2}a{t}^{2}slvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA}}{\imath }\)  to  \(\frac{tanA}{eVaefA\imath }\).
\[\frac{tanA}{eVaefA\imath }=w{h}^{2}a{t}^{2}slvo\]
Divide both sides by \({h}^{2}\).
\[\frac{\frac{tanA}{eVaefA\imath }}{{h}^{2}}=wa{t}^{2}slvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath }}{{h}^{2}}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}}=wa{t}^{2}slvo\]
Divide both sides by \(a\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}}}{a}=w{t}^{2}slvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}}}{a}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a}=w{t}^{2}slvo\]
Divide both sides by \({t}^{2}\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}a}}{{t}^{2}}=wslvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}a}}{{t}^{2}}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}}=wslvo\]
Divide both sides by \(s\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}}}{s}=wlvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}}}{s}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}s}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}s}=wlvo\]
Divide both sides by \(l\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}s}}{l}=wvo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}s}}{l}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}sl}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}sl}=wvo\]
Divide both sides by \(v\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}sl}}{v}=wo\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}sl}}{v}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slv}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slv}=wo\]
Divide both sides by \(o\).
\[\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slv}}{o}=w\]
Simplify  \(\frac{\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slv}}{o}\)  to  \(\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slvo}\).
\[\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slvo}=w\]
Switch sides.
\[w=\frac{tanA}{eVaefA\imath {h}^{2}a{t}^{2}slvo}\]