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 . … [Read more...]

## Systems of simultaneous trigonometric equations

Systems of simultaneous trigonometric equations At solving simultaneous trigonometric equations we use the same methods, as in algebra ( exchange, substitution, elimination etc.) and also the known methods and formulas of trigonometry. Consider some examples. E x a m p l e 1 . Solve the system of simultaneous equations: E x a m p l e 2 . Solve the system of … [Read more...]

## Trigonometric equations. Main methods for solving

Trigonometric equations. Main methods for solving Trigonometric equations. Simplest trigonometric equations. Methods of solving: algebraic method, factoring, reducing to a homogeneous equation, transition to a half-angle, introducing an auxiliary angle, transforming a product to a sum, universal substitution. Trigonometric equations. An equation, containing an … [Read more...]

## Basic relations for inverse trigonometric functions

Basic relations for inverse trigonometric functions Back … [Read more...]

## Inverse trigonometric functions

Inverse trigonometric functions Inverse trigonometric functions. Multiple-valued functions. Principal values of inverse trigonometric functions. The relation x = sin y permits to find both x by the given y , and also y by the given x ( at | x | 1 ). So, it is possible to consider not only a sine as a function of an angle, but an angle as a function of a … [Read more...]