TRIGONOMETRIC EQUATIONS Solving Inequalities (Page 1 of 6)

Solving a trigonometric inequality is nearly the same as solving an equation. In fact, we solve the equation first using the x-intercept method, then analyze the graph to determine the solution set of the inequality.

For example, we will solve the inequality sin[(2pi/365)(x-121)] < -(1/2) for 0 <= x < 365. This inequality assumes that x is measured in radians, so first be sure the calculator is in Radian mode.

 MODE key. [Radian] ENTER key. Calculator screen image.

Next, get a zero on one side of the inequality, so that we have sin[(2pi/365)(x-121)]+(1/2) < 0.
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