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  2. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    We conclude that for 0 < θ < ⁠ 1 / 2 ⁠ π, the quantity sin(θ)/θ is always less than 1 and always greater than cos(θ). Thus, as θ gets closer to 0, sin(θ)/θ is "squeezed" between a ceiling at height 1 and a floor at height cos θ, which rises towards 1; hence sin(θ)/θ must tend to 1 as θ tends to 0 from the positive side:

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer the hypotenuse.

  4. 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.

  5. 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.

  6. Fix problems signing into your AOL account - AOL Help

    help.aol.com/articles/help-signing-in

    Use the Sign-in Helper to locate your username and regain access to your account by entering your recovery mobile number or alternate email address.; To manage and recover your account if you forget your password or username, make sure you have access to the recovery phone number or alternate email address you've added to your AOL account.

  7. atan2 - Wikipedia

    en.wikipedia.org/wiki/Atan2

    atan2(y, x) returns the angle θ between the positive x-axis and the ray from the origin to the point (x, y), confined to (−π, π].Graph of ⁡ (,) over /. In computing and mathematics, the function atan2 is the 2-argument arctangent.

  8. Play Spades Online for Free - AOL.com

    www.aol.com/games/play/masque-publishing/spades

    Spades is all about bids, blinds and bags. Play Spades for free on Games.com alone or with a friend in this four player trick taking classic.

  9. NJ deli crafts fried ravioli Christmas trees that are fry-ing ...

    www.aol.com/nj-deli-crafts-fried-ravioli...

    A New Jersey deli is crafting 2-foot-tall ravioli Christmas trees — and they’re fry-ing off the shelf. Taliercio’s in Middletown, NJ, shared their festive Italian creation, ...