The equation "a2 + b2 = c2" refers to the Pythagorean theorem. With this theorem, it is possible to find the length of any side of a right triangle when given the length of the other two sides.
Continue ReadingThe Pythagorean theorem states the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this equation, the twos after each term are not indicators of multiplication by two but of squaring each term. Normally, mathematicians write them as superscripts above the regular line of the text. This formula provides the basis for the distance formula, which is useful in determining the distance between two points on a graph when given their coordinates.
Learn more about TrigonometryPythagoras often receives credit for the discovery of a method for calculating the measurements of triangles, which is known as the Pythagorean theorem. However, there is some debate as to his actual contribution the theorem.
Full Answer >The analytical method of vector addition can be described as a combination of steps that utilize the Pythagorean theorem as well as trigonometric identities. These two concepts determine magnitude and direction of the resultant vector.
Full Answer >The tangent-secant theorem states that if two secant segments share an endpoint outside of a circle, the product of one segment length and the length of its external segment equals the product of the other segment's length and the length of its external segment. It is a special subtype of another mathematical theorem: the power of a point theorem.
Full Answer >Evaluating sin(arc-tan x) is a simple process that involves two steps: using a right-angled triangle to label the two sides and the angle in question, which is x, and using the Pythagoras theorem to calculate the remaining side and calculating the function from these values. Writing out the expression in words is the starting point of evaluating it. In this case, it is the sine of Arc-tan x.
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