A trigonometric inequality is an inequality in which the unknown appears as the argument of trigonometric functions. The general method is always the same: reduce the inequality to a product of elementary factors, study the sign of each factor on the unit circle (or on the graph), combine the signs in a table and read the solution. The chapter starts from the elementary inequalities with , and , read directly on the circle; it then moves on to the sign-study method for inequalities that can be factorised; and finally it recalls, on trigonometric ground, the techniques already seen for the absolute value and for roots.
Sections
- Elementary inequalities
- Inequalities by substitution and sign study
- Inequalities with absolute value and roots