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  2. List of trigonometric identities - Wikipedia

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

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  3. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =. [2] [3] The word equation and its cognates in other languages may have subtly different meanings; for example, in French an équation is defined as containing one or more variables, while in English ...

  4. Triangular number - Wikipedia

    en.wikipedia.org/wiki/Triangular_number

    For example, the third triangular number is (3 × 2 =) 6, the seventh is (7 × 4 =) 28, the 31st is (31 × 16 =) 496, and the 127th is (127 × 64 =) 8128. The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7.

  5. 3 - Wikipedia

    en.wikipedia.org/wiki/3

    This form is sometimes used to prevent falsifying a 3 as an 8. ... as it is equal to 2! + 1. 3 is the second and only prime ... 18 19 20 3 ÷ x: 3: 1.5 1 0.75 0.6 0.5 ...

  6. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

  7. ‘Connections’ Hints and Answers for NYT's Tricky Word ...

    www.aol.com/lifestyle/connections-hints-answers...

    Get ready for all of the ‘Connections’ hints and answers for Friday, August 18, 2023. The New York Times This new game from The New York Times has me even more obsessed than I was during the ...

  8. Queen Camilla, Still Recovering from Pneumonia, Refuses to ...

    www.aol.com/queen-camilla-still-recovering...

    She also scaled back her involvement in the Qatar state visit this week, and said on Dec. 3 to guests at a Buckingham Palace reception that her chest infection was a form of pneumonia.

  9. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.

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