Regroup terms.
\[Prove-tCothas(\frac{\pi }{4}+x)+Cos(\frac{\pi }{4}-x)=\sqrt{2}COSx\]
Regroup terms.
\[Prove-tCothas(\frac{\pi }{4}+x)+Cos(\frac{\pi }{4}-x)=COSx\sqrt{2}\]
Add \(tCothas(\frac{\pi }{4}+x)\) to both sides.
\[Prove+Cos(\frac{\pi }{4}-x)=COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)\]
Subtract \(Cos(\frac{\pi }{4}-x)\) from both sides.
\[Prove=COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)\]
Divide both sides by \(Pr\).
\[ove=\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Pr}\]
Divide both sides by \(v\).
\[oe=\frac{\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Pr}}{v}\]
Simplify \(\frac{\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Pr}}{v}\) to \(\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prv}\).
\[oe=\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prv}\]
Divide both sides by \(e\).
\[o=\frac{\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prv}}{e}\]
Simplify \(\frac{\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prv}}{e}\) to \(\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prve}\).
\[o=\frac{COSx\sqrt{2}+tCothas(\frac{\pi }{4}+x)-Cos(\frac{\pi }{4}-x)}{Prve}\]
o=(COSx*sqrt(2)+tCo*t*h*a*s*(PI/4+x)-Co*s*(PI/4-x))/(Pr*v*e)
