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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 ...
The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
Kaley Cuoco is honoring her late dog Shirley. On Sunday, Nov. 24, the actress opened up about the story behind rehoming Shirley, who recently died of cancer, revealing in an Instagram Reel that ...
Thanksgiving leaves many lethargic and in a food coma. But for 22 NFL teams on Sunday, they will have to shake off that rust as a full slate of games takes place on Week 13 of the 2024 season.
December 2, 2024 at 9:54 AM. People scramble in Nzerekore, Guinea, where local officials said a deadly crush ensued at a stadium following fan clashes during a soccer match.
For example, 3x 2 − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power 1 / 2 , the following is also an algebraic expression: + See also: Algebraic equation and Algebraic closure
James Harden had 23 points and eight assists, Ivica Zubac had 16 points and 12 rebounds and the Los Angeles Clippers coasted to a 125-99 win over the Philadelphia 76ers on Sunday night. The 76ers ...