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  2. 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°).

  3. List of trigonometric identities - Wikipedia

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

    The fact that the triple-angle formula for sine and cosine only involves powers of a single function allows one to relate the geometric problem of a compass and straightedge construction of angle trisection to the algebraic problem of solving a cubic equation, which allows one to prove that trisection is in general impossible using the given tools.

  4. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

  5. Try these three expert-approved techniques to help your dog ...

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    1. Luring “This is where you have a treat in your hand and you use it to guide your dog into specific positions,” explains DeWillems. “Luring can be pretty easy for most people and dogs to ...

  6. Passenger Gets Dragged For Complaining About Plane Seat He ...

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    Image credits: Delta Air Lines, Inc These walls often mark the start of a new section, like the first row of seats in a class (economy or business), and typically don’t have under-seat storage.

  7. 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.

  8. A man and his mailbox: How a dispute over rural mail delivery ...

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    In Klein’s case, a Postal Service spokeswoman said, the problem is the road. Hillman Ridge is paved but narrows to a width slightly larger than a pickup truck as it approaches Klein’s property.

  9. Taylor series - Wikipedia

    en.wikipedia.org/wiki/Taylor_series

    The function f (n) (a) denotes the n th derivative of f evaluated at the point a. The derivative of order zero of f is defined to be f itself and ( x − a ) 0 and 0! are both defined to be 1 . This series can be written by using sigma notation , as in the right side formula. [ 1 ]