What is Eulder's Formula ?
Answers
Answer:
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function
Step-by-step explanation:
Formula
e^{ix}=\cos x+i\sin x
e = base of the natural logarithm
i = imaginary unit
x = the angle in radians
Eulder's Formula Either of two important mathematical theorems of Leonhard Euler. The first is a topological invariance (see topology) relating the number of faces, verticals, and edges of any polyhedron. It is written F +V=E+2, where F is the number of faces,V the number of verticals, and E the number of Edges. A cube, for example, has 6 faces, 8 verticals,and 12 edges, and satisfies this formula.The second formula, used in trigonometry, says e ix=cos x+isin x where is the base of the natural logarithm and is the square root of -1 (see irrational number ) . when x is equal to π or 2π, the formula yields two elegant experission relating π ,e, and i:e ^iπ =-1 and e ^2iπ =1.