What should we do when complex variables involve trigonometric functions?
Question: Define \(z=x+iy\). Prove the following equation \[ \frac{\sin 2x + i\sinh 2y}{\cos 2x + \cosh 2y} = \tan z \] Answer: […]
Tag: trigonometric functions
What we can derive from the trigonometric addition theorem
Question: Show that \(\frac{\sin(\alpha + \beta)\sin(\alpha – \beta)}{\sin\alpha – \sin\beta}=\sin\alpha + \sin\beta\). Answer: Use \(\sin(\alpha \pm \beta) = \sin\alpha\cos\beta \pm […]