METHODS OF PROVING SOME TRIGONOMETRIC IDENTITIES AND INEQUALITIES USING THE PROPERTIES OF GEOMETRICAL FORMS
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Abstract
In this scientific article, methods of solving some trigonometric inequalities and
proofs of identities using geometrical methods are shown. Teaching in such a style frames the
reader with the beauty, charm, simplicity and ease of the procedure for solving the issue. Several
variants of the proof of trigonometric identities are presented in the article, as a result of which
the student's knowledge, skills and ability to solve algebraic issues using the properties of
geometrical forms are further formed. In addition to the Pythagorean theorem, the formula of the
surface of a triangle, the inner and outer drawn circles of a triangle, as well as the Karno formula,
were used to prove trigonometric identities. It is possible to recommend the following teaching
methods in the article so that they can be used as a methodological guide in school and academic
high school lessons.
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