Derive abbreviation of cos(a+summation(b))

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Start date Jul 22, 2016
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Derive

In summary, "cos" stands for cosine and is a mathematical function used to calculate the ratio of the adjacent side to the hypotenuse in a right triangle. The abbreviation for "derivative" is "derive" and it means to calculate or obtain something from a given set of data or information. "a" represents an angle in radians and "summation(b)" is a mathematical notation for the sum of a series of values. "cos(a+summation(b))" is often used in physics, engineering, and other scientific fields to calculate the resulting force, velocity, or position of a system when multiple forces or angles are acting on it simultaneously.

Jul 22, 2016

baby_1

Homework Statement

I want to derive these equations

Homework Equations

The Attempt at a Solution

But I don't have any idea how can extend cos(summation) and sin(summation) in form of Bessel function or product of Sin(wmt+phim)

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Jul 23, 2016

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Mentor

Insights Author

The first step is using cos(x) = Re(e^ix)

1. What does "cos" stand for in "cos(a+summation(b))"?

"cos" stands for cosine, which is a mathematical function used to calculate the ratio of the adjacent side to the hypotenuse in a right triangle.

2. What is the abbreviation for "derivative" in "Derive abbreviation of cos(a+summation(b))"?

The abbreviation for "derivative" is "derive" in this context. "Derive" means to calculate or obtain something from a given set of data or information.

3. What does "a" represent in "cos(a+summation(b))"?

"a" represents an angle in radians. In trigonometry, angles are often represented by letters such as "a", "b", or "theta".

4. What is the purpose of "summation(b)" in "cos(a+summation(b))"?

"summation(b)" is a mathematical notation for the sum of a series of values. In this context, it represents the sum of all the angles denoted by "b" in the equation.

5. How is "cos(a+summation(b))" used in the field of science?

"cos(a+summation(b))" is often used in physics, engineering, and other scientific fields to calculate the resulting force, velocity, or position of a system when multiple forces or angles are acting on it simultaneously.