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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.
Bismuth subcitrate potassium is a salt of bismuth (Bi 3+), potassium (K +) and citrate (C 6 H 4 O 4− 7) in a molar ratio of about 1:5:2, with 3 moles of water. It contains about 25.6% (mass percent) bismuth, which is the active moiety, and 22.9% potassium. [3] [4] Other sources give somewhat different ratios of the constituents.
Potassium chloride, also known as potassium salt, is used as a medication to treat and prevent low blood potassium. [2] Low blood potassium may occur due to vomiting, diarrhea, or certain medications. [3] The concentrated version should be diluted before use. [2] It is given by slow injection into a vein or by mouth. [4]
Potassium gluconate is used as a mineral supplement and sequestrant. It is sold over-the-counter as tablets or capsules providing up to 593 mg of potassium gluconate, thereby containing 99 mg or 2.53 milliequivalents of elemental potassium. This is the permissible upper limit for each tablet or capsule of over-the-counter potassium supplements ...
Potassium chloride supplements by mouth have the advantage of containing precise quantities of potassium, but the disadvantages of a taste which may be unpleasant, and the potential for side-effects including nausea and abdominal discomfort. Potassium bicarbonate is preferred when correcting hypokalemia associated with metabolic acidosis. [30]
The solution has 1 mole or 1 equiv Na +, 1 mole or 2 equiv Ca 2+, and 3 mole or 3 equiv Cl −. An earlier definition, used especially for chemical elements , holds that an equivalent is the amount of a substance that will react with 1 g (0.035 oz) of hydrogen , 8 g (0.28 oz) of oxygen , or 35.5 g (1.25 oz) of chlorine —or that will displace ...
Antimony potassium tartrate, also known as potassium antimonyl tartrate, potassium antimontarterate, or tartar emetic, [3] has the formula K 2 Sb 2 (C 4 H 2 O 6) 2. The compound has long been known as a powerful emetic , and was used in the treatment of schistosomiasis and leishmaniasis .
In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained. By symmetry, the bisected side is half of the side of the equilateral triangle, so one concludes sin ( 30 ∘ ) = 1 / 2 {\displaystyle \sin(30^{\circ ...