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  2. Law of sines - Wikipedia

    en.wikipedia.org/wiki/Law_of_sines

    In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, ⁡ = ⁡ = ⁡ =, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle's circumcircle.

  3. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...

  4. 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.

  5. Law (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Law_(mathematics)

    In mathematics, a law is a formula that is always true within a given context. [1] Laws describe a relationship , between two or more expressions or terms (which may contain variables ), usually using equality or inequality , [ 2 ] or between formulas themselves, for instance, in mathematical logic .

  6. YouTube's Ms. Rachel takes on first words and potty training ...

    www.aol.com/youtubes-ms-rachel-takes-first...

    She slows down and uses an upbeat voice because that's what helps kids learn best. "When you speak to a child naturally, actually, everywhere around the world, you do slow down. Your voice goes up.

  7. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    With these functions, one can answer virtually all questions about arbitrary triangles by using the law of sines and the law of cosines. [33] These laws can be used to compute the remaining angles and sides of any triangle as soon as two sides and their included angle or two angles and a side or three sides are known.

  8. '1923' actress died for 3 minutes, suffered complete organ ...

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    The next day, she said she woke up feeling "very weak" like she couldn't walk. She'd had plans to travel to Las Vegas to film a commercial, and a family member drove her there from her home in L.A ...

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