Solving Non-trigonometric Equations
Various types of equations can be solved using trigonometry. For example, a linear difference equation or differential equation with constant coefficients has solutions expressed in terms of the eigenvalues of its characteristic equation; if some of the eigenvalues are complex, the complex terms can be replaced by trigonometric functions of real terms, showing that the dynamic variable exhibits oscillations. Similarly, cubic equations with three real solutions have an algebraic solution that is unhelpful in that it contains cube roots of complex numbers; again an alternative solution exists in terms of trigonometric functions of real terms.
Read more about this topic: Uses Of Trigonometry, Some Modern Uses
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