We explore the method of finding a corresponding single trigonometric function r sin(θ+α) or r cos(θ-β) for a sum of trigonometric functions in the form of f(θ) = a cos θ + b sin θ.

Explore formulas for transforming products of trigonometric functions into sums or differences, derive these formulas from trigonometric addition theorems, and then derive formulas for transforming...

We examine the double-angle and triple-angle formulas and derive them from the Trigonometric Addition Formulas. We also derive the half-angle formulas from the double-angle formulas.

Examine the definitions of trigonometric functions and the relationships between them, and derive the addition formulas for trigonometric functions and their derivative formulas.

This post covers the process of designing prompts for multilingual translation of markdown text files, and automating the task using Python with the API key obtained from Anthropic and the created ...

Explore the necessity of writing good code and the key principles generally followed to create high-quality code.

Let's explore the concept of technical debt, why it occurs, and how to minimize it.

Let's calculate the macroscopic cross-section of a homogeneous mixture containing two or more nuclides.

Calculate the intensity of a neutron beam as it passes through a target material based on penetration distance, and derive the mean free path of neutrons from this calculation.

Neutrons, being electrically neutral, can pass through the electron cloud of atoms without electrical influence and directly interact with atomic nuclei. We explore the types of neutron interaction...