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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. '1923' actress died for 3 minutes, suffered complete organ ...

    www.aol.com/1923-actress-died-3-minutes...

    The next day, she said she woke up feeling "very weak" like she couldn't walk. She'd had plans to travel to Las Vegas to film a commercial, and a family member drove her there from her home in L.A ...

  7. 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 ...

  8. These Birds are Interior Design Experts - AOL

    www.aol.com/birds-interior-design-experts...

    Bowerbirds are named for the intricate structures they design and build, which are called “bowers”. The term “bower” refers to a comfortable and shady spot, which is exactly what these ...

  9. Cassie Ventura filed her sexual abuse lawsuit against Sean ...

    www.aol.com/entertainment/cassie-ventura-filed...

    When Combs’s homes were raided by federal investigators in March, Ventura’s attorney said in a statement, “We will always support law enforcement when it seeks to prosecute those that have ...