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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 ...

3. Exact trigonometric values - Wikipedia

   en.wikipedia.org/wiki/Exact_trigonometric_values

   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 ...

4. 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.

5. List of mathematical constants - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_constants

   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]

6. What Is Pi Day? Here’s How the Mathematical Symbol Turned ...

   www.aol.com/pi-day-mathematical-symbol-turned...

   Going back to the holiday's roots, the mathematical symbol Pi is the ratio of the circumference of a circle to its diameter. The value of Pi is approximately 3.14, but it has infinite decimal ...

7. Euler's identity - Wikipedia

   en.wikipedia.org/wiki/Euler's_identity

   is pi, the ratio of the circumference of a circle to its diameter. Euler's identity is named after the Swiss mathematician Leonhard Euler . It is a special case of Euler's formula e i x = cos ⁡ x + i sin ⁡ x {\displaystyle e^{ix}=\cos x+i\sin x} when evaluated for x = π {\displaystyle x=\pi } .

8. Mortgage and refinance rates for Dec. 9, 2024: Average ... - AOL

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   4 top factors that affect your mortgage rate. The difference of even half a percentage point on your interest rate can save you hundreds of dollars a month and thousands of dollars over the life ...

9. These are the pedophile symbols you need to know to protect ...

   www.aol.com/news/2016-04-26-these-are-the...

   Click through the see images of the symbols: Show comments. Advertisement. Advertisement. Holiday Shopping Guides. See all. AOL. This Olay anti-aging cream is down to $18: 'In one week, wrinkles ...