4.0 Trigonometric Inequalities

4.1 Steps in solving trigonometric inequalities

Trigonometric Inequality is an inequality in standard form i.e., $f(x)>0$ or $f(x)<0$ where $f(x)$ consists of one or more trigonometric functions. As in the earlier topic we have discussed the methods to solve the trigonometric equations and find out the values of $x$ satisfying the equation, in a similar way, in this topic we will find out the values of $x$ satisfying the trigonometric inequality $f(x)>0$ or $f(x)<0$ or in other words we will find out the solution set (expressed in intervals) of values of $x$ for which the inequality is true.

For example: $sinx>0$, $tanx+cotx>2$.