Mathematics - Trigonometric Equation Question with Solution | TestHub

$\cos x+\sin x=\sqrt{2}\cos x$

$$\begin{array}{rl}\sin x& =(\sqrt{2}-1)\cos x\\ \cos x& =\frac{1}{(\sqrt{2}-1)}\sin x\\ \cos x& =(\sqrt{2}+1)\sin x\\ \cos x-\sin x& =\sqrt{2}\sin x\end{array}$$