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  2. List of trigonometric identities - Wikipedia

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

    Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

  3. Murphy's triad - Wikipedia

    en.wikipedia.org/wiki/Murphy's_triad

    Murphy's triad was named after John Benjamin Murphy, an American physician and abdominal surgeons and one of the earliest advocates for the intervention of the removal of the appendix in all cases of appendicitis.

  4. Alvarado score - Wikipedia

    en.wikipedia.org/wiki/Alvarado_score

    The consensus is that the Alvarado score is a noninvasive, safe, diagnostic method, which is simple, reliable, repeatable, and able to guide the clinician in the management of the case. However, a recent study demonstrated a sensitivity of only 72% of the Modified Alvarado Score for detection of appendicitis which has led to criticism of the ...

  5. Rovsing's sign - Wikipedia

    en.wikipedia.org/wiki/Rovsing's_sign

    Rovsing's sign, named after the Danish surgeon Niels Thorkild Rovsing (1862–1927), [1] is a sign of appendicitis.If palpation of the left lower quadrant of a person's abdomen increases the pain felt in the right lower quadrant, the patient is said to have a positive Rovsing's sign and may have appendicitis.

  6. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    Illustration of the sum formula. Draw a horizontal line (the x -axis); mark an origin O. Draw a line from O at an angle α {\displaystyle \alpha } above the horizontal line and a second line at an angle β {\displaystyle \beta } above that; the angle between the second line and the x -axis is α + β . {\displaystyle \alpha +\beta .}

  7. Ten Horn's sign - Wikipedia

    en.wikipedia.org/wiki/Ten_Horn's_sign

    The patient lies on a couch. The examiner gently stretches the right spermatic cord using the thumb and index finger right about the testis in the right scrotum. For a patient with appendicitis, this causes pain in the right iliac fossa. [2]

  8. Appendicitis - Wikipedia

    en.wikipedia.org/wiki/Appendicitis

    While antibiotics are safe and effective for treating uncomplicated appendicitis, [16] [7] [82] 31% of people had a recurrence within a year and required an eventual appendectomy. [18] Antibiotics are less effective if an appendicolith is present. [83]

  9. 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.