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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. Potassium gluconate - Wikipedia

   en.wikipedia.org/wiki/Potassium_gluconate

   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 ...

4. Pythagorean trigonometric identity - Wikipedia

   en.wikipedia.org/wiki/Pythagorean_trigonometric...

   which by the Pythagorean theorem is equal to 1. This definition is valid for all angles, due to the definition of defining x = cos θ and y sin θ for the unit circle and thus x = c cos θ and y = c sin θ for a circle of radius c and reflecting our triangle in the y-axis and setting a = x and b = y.

5. Equivalent (chemistry) - Wikipedia

   en.wikipedia.org/wiki/Equivalent_(chemistry)

   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 ...

6. Body of grandma found at site of abandoned Pennsylvania mine

   www.aol.com/body-64-old-elizabeth-pollard...

   Crews found the body of Elizabeth Pollard, the Pennsylvania grandma who fell into a sinkhole in Unity Township.

7. Mark Ruffalo Admits 2024 Was 'Rough' as He Shares ... - AOL

   www.aol.com/mark-ruffalo-admits-2024-rough...

   For Mark Ruffalo, kindness is key as the world turns its calendars to 2025.. The actor, 57, shared a photo of himself lounging shirtless on Instagram Tuesday, Dec. 31, as he reflected that this ...

8. College Football Playoff semifinal schedule, matchups, odds ...

   www.aol.com/college-football-playoff...

   The semifinals of the 12-team College Football Playoff are set, and no conference champions remain.. All four of the teams still alive in the playoff hosted games in the first round of the playoff ...

9. 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.