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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. 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.

  4. Theta function - Wikipedia

    en.wikipedia.org/wiki/Theta_function

    There are several closely related functions called Jacobi theta functions, and many different and incompatible systems of notation for them. One Jacobi theta function (named after Carl Gustav Jacob Jacobi) is a function defined for two complex variables z and τ, where z can be any complex number and τ is the half-period ratio, confined to the upper half-plane, which means it has a positive ...

  5. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    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.

  6. Remains found in 1973 identified as Pennsylvania teen girl ...

    www.aol.com/news/remains-found-1973-identified...

    Officials have positively identified the remains of a girl whose body was found hidden in brush under a plastic tarp in 1973, Pennsylvania authorities said this week.

  7. Alexandra Breckenridge breaks down the 'Virgin River ... - AOL

    www.aol.com/alexandra-breckenridge-breaks-down...

    At long last, Jack and Mel say "I do" in the Season 6 finale. "It’s just beautiful. It’s gorgeous and it’s not cheesy. It’s just really sweet," Breckenridge says of the wedding.

  8. Israel says it has met most U.S. demands on Gaza aid as ...

    www.aol.com/news/israel-says-met-most-u...

    Israel said on Monday it had met most demands by the United States to improve humanitarian conditions in Gaza but was still discussing some items as a deadline looms to improve the situation or ...

  9. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The red section on the right, d, is the difference between the lengths of the hypotenuse, H, and the adjacent side, A. As is shown, H and A are almost the same length, meaning cos θ is close to 1 and ⁠ θ 2 / 2 ⁠ helps trim the red away. ⁡