Trigonometric Functions and Complex Numbers: In Mathematical Olympiad and CompetitionsTrigonometric Functions and Complex Numbers covers the followings areas in the International Mathematical Olympiad (IMO) and other mathematical competitions. The contents are essential for the IMO. A good help for students who want to improve in these areas. |
Common terms and phrases
According acute angle an+1 arccos arcsin arctan circumcircle complex number complex plane corresponding cos(a cos² cos2x cos4 cosx cot² decreasing function equality holds equation with real equation x² find the maximum find the range graph Induction formula inequality integer intersect inverse trigonometric functions Laws of Sines method minimum modulus monotone namely odd function original equation polynomial problem Proof prove quadrant radian radius real coefficients real number real root roots of equation sin x sin(a sin(x sin² sin³ sin4 sine law sinx Solution solve Suppose tan2 tana tangent tantan theorem triangle ABC trigonometric function unit root z₁ α β ηπ θη κπ π π π