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  2. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    Pythagorean identities. Identity 1: The following two results follow from this and the ratio identities. To obtain the first, divide both sides of by ; for the second, divide by . Similarly. Identity 2: The following accounts for all three reciprocal functions. Proof 2: Refer to the triangle diagram above.

  3. Elementary algebra - Wikipedia

    en.wikipedia.org/wiki/Elementary_algebra

    Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [4] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...

  4. Al-Khwarizmi - Wikipedia

    en.wikipedia.org/wiki/Al-Khwarizmi

    Al-Khwarizmi's algebra is regarded as the foundation and cornerstone of the sciences. In a sense, al-Khwarizmi is more entitled to be called "the father of algebra" than Diophantus because al-Khwarizmi is the first to teach algebra in an elementary form and for its own sake, Diophantus is primarily concerned with the theory of numbers. [51]

  5. Pythagorean trigonometric identity - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_trigonometric...

    Pythagorean trigonometric identity. The Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions. The identity is.

  6. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Fourier. v. t. e. Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths.

  7. File:High School Trigonometry Teacher's Guide.pdf - Wikipedia

    en.wikipedia.org/wiki/File:High_School...

    File:High School Trigonometry Teacher's Guide.pdf. Size of this JPG preview of this PDF file: 463 × 599 pixels. Other resolutions: 185 × 240 pixels | 371 × 480 pixels | 593 × 768 pixels | 1,275 × 1,650 pixels. This is a file from the Wikimedia Commons. Information from its description page there is shown below.

  8. History of trigonometry - Wikipedia

    en.wikipedia.org/wiki/History_of_trigonometry

    Bhaskara II developed spherical trigonometry, and discovered many trigonometric results. Bhaskara II was the one of the first to discover and trigonometric results like: Madhava (c. 1400) made early strides in the analysis of trigonometric functions and their infinite series expansions.

  9. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_trigonometry

    Trigonometry. The following outline is provided as an overview of and topical guide to trigonometry: Trigonometry – branch of mathematics that studies the relationships between the sides and the angles in triangles. Trigonometry defines the trigonometric functions, which describe those relationships and have applicability to cyclical ...