Pythagoras 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.Know More
Pythagoras was an Ionian Greek philosopher, mathematician and religious scholar. His greatest contribution to mathematics is the Pythagorean theorem. The theorem states that in a right triangle, the area of the square of the hypotenuse, which is the side across from the right angle, is equal to the sum of the square of the areas of the other two sides. Despite the theorem bearing his name, Pythagoras was not the first person to use this calculation. This computation was in use in Mesopotamia and India long before Pythagoras lived. There is some speculation that Pythagoras and his students are responsible for the first proof of the theorem. However, given that it was the nature of Pythagoras' students to attribute everything to their teacher, it is unclear if Pythagoras himself ever worked on the proof.
Besides mathematics, Pythagoras made contributions to religion and music. Pythagoras and his followers believed that souls did not die but went through a cycle of rebirth that ended when purity of life was obtained. Pythagoras' beliefs placed great emphasis on a lifelong search for salvation. Pythagoras might also be responsible for an understanding of string length in relation to tone in musical instruments.Learn More
Because it has such a strong ability to explain space and the relationships between angles, trigonometry is used in almost every branch of modern physics, according to Clark University. Any field of physics that includes the use of angles or sides uses trigonometry. Some of the first fields in physics, statics and optics relied heavily on trigonometry during their pioneering stages.Full Answer >
To solve the equation sin(cos(-1)), first it is necessary to solve for cos(-1) and then find the sine of that value. Assuming that (-1) is given in units of radians, this equation is equal to 0.514. If (-1) is in degrees, the equation is equal to 0.017.Full Answer >
The periods of the trigonometric functions sine and cosine are both 2 times pi. The functions tangent and cotangent both have a period of pi. The general formula for the period of a trigonometric function can be determined by dividing the regular period by the absolute value of any multipliers.Full Answer >
Cos(2pi) is equal to 1. The cosine function, cos(x), oscillates between 1 and -1 with a period of 2pi as x varies. By definition, cos(0) = 1, and the periodicity of the function means the cosine of all multiples of 2pi (2pi, 4pi and so on) is also equal to 1.Full Answer >