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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.
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.
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.
Al-Khwarizmi. Muhammad ibn Musa al-Khwarizmi[note 1] (Persian: محمد بن موسى خوارزمی; c. 780 – c. 850), or simply al-Khwarizmi, was a Khwarazm -born polymath who produced vastly influential Arabic-language works in mathematics, astronomy, and geography. Around 820 CE, he was appointed as the astronomer and head of the House of ...
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 ...
Trigonometry. In trigonometry, the law of tangents or tangent rule[1] is a statement about the relationship between the tangents of two angles of a triangle and the lengths of the opposing sides. In Figure 1, a, b, and c are the lengths of the three sides of the triangle, and α, β, and γ are the angles opposite those three respective sides.