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  2. Bhāskara II - Wikipedia

    en.wikipedia.org/wiki/Bhāskara_II

    The first general method for finding the solutions of the problem x 2 − ny 2 = 1 (so-called "Pell's equation") was given by Bhaskara II. [ 23 ] Solutions of Diophantine equations of the second order, such as 61 x 2 + 1 = y 2 .

  3. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    In the integral , we may use = ⁡, = ⁡, = ⁡. Then, = ⁡ ⁡ = ⁡ (⁡) = ⁡ ⁡ = = + = ⁡ +. The above step requires that > and ⁡ > We can choose to be the principal root of , and impose the restriction / < < / by using the inverse sine function.

  4. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_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 phenomena, such as waves.

  5. Law of sines - Wikipedia

    en.wikipedia.org/wiki/Law_of_sines

    In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, ⁡ = ⁡ = ⁡ =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.

  6. Āryabhaṭa's sine table - Wikipedia

    en.wikipedia.org/wiki/Āryabhaṭa's_sine_table

    Arc and chord of a circle. Āryabhata's sine table is a set of twenty-four numbers given in the astronomical treatise Āryabhatiya composed by the fifth century Indian mathematician and astronomer Āryabhata (476–550 CE), for the computation of the half-chords of a certain set of arcs of a circle.

  7. Today's Wordle Hint, Answer for #1256 on Tuesday, November 26 ...

    www.aol.com/lifestyle/todays-wordle-hint-answer...

    Hints and the solution for today's Wordle on Tuesday, November 26. ... November 26, 2024 at 12:04 AM. If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers ...

  8. Male humpback whale makes record-breaking migration - AOL

    www.aol.com/humpback-whale-makes-record-journey...

    The male humpback whale that traveled the longest documented distance to date is observed in Zanzibar Channel, off the village of Fumba on the Tanzanian island of Unguja, on August 22, 2022.

  9. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles .