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2 days ago · In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as b n, where b is the base and n is the power; this is pronounced as "b (raised) to the (power of) n ".
Jun 11, 2024 · When a = 0 in a + ib, ib is a totally imaginary number, and when b = 0, we get a, which is a strictly real number. In this article, we will learn about, complex number power formulas, their examples, and others in detail.
3 days ago · Trigonometry Formulas and Identities, All Formula List. Trigonometry formulas play a major role in Class 10, 11 and 12 mathematics syllabus. Check all basic and advanced trigonometry formulas based on trigonometric ratios (sin, cos, tan) and identities.
- Ans. The cosine of an angle in a right triangle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.
- Ans. The formula for the sine of the sum of two angles is: Sin (A+B) = Sin A * Cos B + Cos A * Sin B
- Ans. The formula for the area A of a triangle with two sides a and b and the included angle C is: A= 1/2 * A * B * Sin C
- The value of sin²θ + cos²θ is 1.
- The formula of sin 3θ is sin 3θ = 3sinθ – 4sin³θ
2 days ago · A power series is a type of mathematical series that involves terms with a variable raised to increasing powers. Think of it as an infinite polynomial, where the series can be expressed as: Here, x is the variable, and c0, 1, c2, . . ., cn are the coefficients. The power series provides a way to represent functions, especially those that can ...
Jun 10, 2024 · Binomial Theorem. The binomial theorem is a formula for expanding binomial expressions of the form (x + y) n, where ‘x’ and ‘y’ are real numbers and n is a positive integer. The simplest binomial expression x + y with two unlike terms, ‘x’ and ‘y’, has its exponent 0, which gives a value of 1. (x + y) 0 = 1.
Jun 21, 2024 · Algebraic formulas are equations that require algebraic expression on both sides of “equal to” i.e. both on LHS and RHS. Algebraic formulas are generally true for all the values. Algebraic Formula simplifies algebraic equations and is required to solve various problems in mathematics.
Jun 19, 2024 · In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the p -th powers of the first n positive integers. as a polynomial in n.
