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  2. Hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_functions

    sinh x is half the difference of e x and e −x cosh x is the average of e x and e −x. In terms of the exponential function: [1] [4] Hyperbolic sine: the odd part of the exponential function, that is, ⁡ = = =.

  3. Inverse hyperbolic functions - Wikipedia

    en.wikipedia.org/wiki/Inverse_hyperbolic_functions

    Graphs of the inverse hyperbolic functions The hyperbolic functions sinh, cosh, and tanh with respect to a unit hyperbola are analogous to circular functions sin, cos, tan with respect to a unit circle. The argument to the hyperbolic functions is a hyperbolic angle measure.

  4. 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.

  5. 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.

  6. Sinh - Wikipedia

    en.wikipedia.org/wiki/Sinh

    Sinh may refer to: Hyperbolic sine, abbreviated as sinh, a mathematical function; Sinh (clothing), a traditional women's garment from Southeast Asia;

  7. The meaning behind Elon Musk and Grimes’ children’s names, X ...

    www.aol.com/meaning-behind-elon-musk-grimes...

    Explaining the meaning behind each part of the name, Grimes tweeted that the “X” symbolised “the unknown variable”, while “Æ” was the “elven spelling of AI (love and/or artificial ...

  8. It’s not just Gen X parents in suburbia who are enduring a ...

    www.aol.com/finance/not-just-gen-x-parents...

    Young adults are taking the supercommute into work, a trend that will only likely continue as return-to-office mandates from Amazon, JP Morgan, and others continue.. Molly Hopkins, age 30, has ...

  9. Trigonometric substitution - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_substitution

    In the integral , we may use = ⁡, = ⁡, = ⁡. Then, = ⁡ ⁡ = ⁡ (⁡) = ⁡ ⁡ = = + = ⁡ +. The above step requires that > and ⁡ > We can choose to be the principal root of , and impose the restriction / < < / by using the inverse sine function.