In circular functions like sine and cosine, equations can have multiple solutions within a specific interval. If all possible values are considered, these functions can have infinitely many solutions.

The double angle formulae are: \(\sin 2A = 2\sin A\cos A\) \(\cos 2A = {\cos ^2}A - {\sin ^2}A\) \(= 2{\cos ^2}A - 1\) \(= 1 - 2{\sin ^2}A\) Solve the equation \(5 ...

To solve problems involving non-right-angled triangles, the correct rule must first be chosen. The cosine rule can be used in any triangle to calculate: a side when two sides and the angle in between ...

Abstract: Helmholtz equation is a special kind of elliptic partial differential equation. Solving Helmholtz equation is often needed in many scientific and engineering problems. The efficient approach ...