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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. 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 ...

  4. 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°).

  5. Arctangent series - Wikipedia

    en.wikipedia.org/wiki/Arctangent_series

    The derivative of arctan x is 1 / (1 + x 2); conversely, the integral of 1 / (1 + x 2) is arctan x.. If = ⁡ then ⁡ =. The derivative is = ⁡ = + ⁡. Taking the reciprocal, = + ⁡ = +.

  6. Bears players were reportedly 'furious' at Matt Eberflus ...

    www.aol.com/sports/bears-players-were-reportedly...

    The postgame message of “sticking together” from Matt Eberflus following the Chicago Bears' Thanksgiving Day loss to the Detroit Lions reportedly did not go over well with members of the team.

  7. This Is the 1 Step You Should Never Skip When Baking Cookies

    www.aol.com/1-step-never-skip-baking-143000518.html

    Generally speaking, 24 hours is an ideal length of time to refrigerate cookie dough. A longer period will have a negligible impact on your cookies, and dough that rests for longer than 72 hours ...

  8. 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.

  9. The new college student sex trend and why it's so dangerous

    www.aol.com/college-student-sex-trend-why...

    A new sex trend among college students is getting attention on TikTok − and it has doctors worried.. That trend is using honey packets, a controversial supplement marketed for sexual enhancement ...