Home
Math symbols
Jokes
Forum
About us
Links
Contact us
Site map
Search The Site
   
   Program of Lessons
 
 Study Guide
 Topics of problems
 Tests & exams
www.bymath.com Study Guide - Arithmetic Study Guide - Algebra Study Guide - Geometry Study Guide - Trigonometry Study Guide - Functions & Graphs Study Guide - Principles of Analysis Study Guide - Sets Study Guide - Probability Study Guide - Analytic Geometry Select topic of problems Select test & exam Rules Price-list Registration

Trigonometric inequalities

At solving of trigonometric inequalities we use the properties of inequalities, known from algebra and also the trigonometric transformations and formulas. Using of the unit circle at solving of trigonometric inequalities is almost necessary. Consider some examples.

E x a m p l e  1 .  Solve the inequality:   sin x > 0.

S o l u t i o n .  Within one revolution of the unit radius this inequality is valid at

                         0 < x <. Now it is necessary to add the sine period  2 n :

                       

E x a m p l e  2 .  Solve the inequality:   sin x > 0.5 .

S o l u t i o n .

                           

E x a m p l e  4 .  Solve the system of simultaneous inequalities:

                         The second inequality  tan x < 1  has the solution:

                         

Back


| Home | About us | Links | Contact us |

Copyright 2002-2007 Dr. Yury Berengard.  All rights reserved.