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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. Proofs of trigonometric identities - Wikipedia

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

    For example, the sine of angle θ is defined as being the length of the opposite side divided by the length of the hypotenuse. The six trigonometric functions are defined for every real number , except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°).

  4. Inverse trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_trigonometric...

    The most common convention is to name inverse trigonometric functions using an arc- prefix: arcsin(x), arccos(x), arctan(x), etc. [1] (This convention is used throughout this article.) This notation arises from the following geometric relationships: [ citation needed ] when measuring in radians, an angle of θ radians will correspond to an arc ...

  5. Inverse hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_hyperbolic_functions

    The principal values of the square roots are both defined, except if z belongs to the real interval (−∞, 1]. If the argument of the logarithm is real, then z is real and has the same sign. Thus, the above formula defines a principal value of arcosh outside the real interval (−∞, 1], which is thus the unique branch cut.

  6. Tan-1 - Wikipedia

    en.wikipedia.org/wiki/Tan-1

    tan x1, sometimes interpreted as tan(x1) = tan(⁠ 1 / x ⁠), the tangent of the multiplicative inverse (or reciprocal) of x (see below for ambiguity) tan x1, sometimes interpreted as (tan(x)) −1 = ⁠ 1 / tan(x) ⁠ = cot(x) or cotangent of x, the multiplicative inverse (or reciprocal) of the trigonometric function tangent (see ...

  7. Trump and giveaways: What Musk spent $270M on during ... - AOL

    www.aol.com/trump-giveaways-musk-spent-270m...

    Tesla and X CEO Elon Musk spent over a quarter of a billion dollars to help get President-elect Donald Trump back in the White House, according to newly released campaign finance records. The ...

  8. 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.

  9. Buses, football and food top 2024 Pork Report - AOL

    www.aol.com/news/buses-football-food-top-2024...

    Lebanon officials gave $1.5 million in benefits to attract a new restaurant to the town about 40 miles east of Nashville. "The city held the whole deal under secrecy, going so far as calling the ...