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For tiny arcs, the chord is to the arc angle in degrees as π is to 3, or more precisely, the ratio can be made as close as desired to π / 3 ≈ 1.047 197 55 by making θ small enough. Thus, for the arc of 1 / 2 °, the chord length is slightly more than the arc angle in degrees. As the arc increases, the ratio of the chord to ...
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.
1.3 (2002) A dog owned by Drew Barrymore, barked to alert her and then-husband Tom Green of a fire. She put her $1.3 million house in trust for the dog to show her gratitude. [10] [unreliable source?] Tinker 1.02 (2003) A stray cat that was bequeathed an $800,000 home and a $226,000 trust fund. [10] [unreliable source?] [disputed – discuss]
These horses can cost anywhere from $10,000 to $100,000 or more, with elite bloodlines fetching even higher prices (the most expensive one ever sold cost a mind-blowing $70 million). Known for ...
An Argentinian big-game hunter and guardian breed, the Dogo Argentino makes the most expensive dog list because of its hefty purchase price of $1,500 to $2,500. This large breed has an average ...
It’s not surprising to find a few cars on this list of the world’s most expensive things. In 2018, a 1962 red Ferrari GTO sold to an anonymous buyer at Sotheby’s auction in Monterey for $48. ...
The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. 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.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]