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  2. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The sine and tangent small-angle approximations are used in relation to the double-slit experiment or a diffraction grating to develop simplified equations like the following, where y is the distance of a fringe from the center of maximum light intensity, m is the order of the fringe, D is the distance between the slits and projection screen ...

  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. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    The fixed point iteration x n+1 = cos(x n) with initial value x 0 = −1 converges to the Dottie number. Zero is the only real fixed point of the sine function; in other words the only intersection of the sine function and the identity function is sin ⁡ ( 0 ) = 0 {\displaystyle \sin(0)=0} .

  5. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The trigonometric functions of angles that are multiples of 15°, 18°, or 22.5° have simple algebraic values. These values are listed in the following table for angles from 0° to 45°. [ 1 ] In the table below, the label "Undefined" represents a ratio 1 : 0. {\displaystyle 1:0.}

  6. I Serve This 3-Ingredient Drink At Every Holiday Gathering

    www.aol.com/serve-3-ingredient-drink-every...

    Think of it as a merry take on a mimosa: Pour 2 (or 3) parts Prosecco or Champagne to 1 part pomegranate juice in a flute, then plop in a sprig of fresh rosemary for garnish. That’s it. That’s it.

  7. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  8. Why Is Gen Z Suddenly Obsessed With This 70-Year-Old Dutch ...

    www.aol.com/why-gen-z-suddenly-obsessed...

    Today, there are more than 35 Miffy books, and more than 100 featuring Miffy's extended cast of friends. They've sold more than 85 million copies in 50 languages worldwide. There’s been a few ...

  9. Macy’s provides more details about that employee who hid more ...

    www.aol.com/macy-provides-more-details-employee...

    Macy’s said Wednesday that it has concluded its investigation into an employee who intentionally hid more than $150 million in expenses, and it has tightened its controls to avoid a repeat of ...