The Method is a technique used to solve trigonometric equations of the form
by applying the addition formulae.
Express in the form .
Our goal is to solve for and in the following equation:
Taking their ratio leads to
Substituting the value of into the previous equation gives
Taking the most suitable form of trigonometric addition formula will save you a lot of work. The equations below state the best method in different cases.
method can be very effective when solving trigonometric equations and inequalities.
Solve the equation for
Applying the method, we have
What is the maximum value of
Since the maximum value of the sine function is , we have