Quinn Morris said:tan (a - b) = sinacosb - cosasinbcosacosb + sinasinb
The "Tough Twelve Trig Formulas" refer to a set of twelve trigonometric formulas that are commonly used in advanced mathematics and physics. These formulas involve the six trigonometric functions (sine, cosine, tangent, cosecant, secant, and cotangent) and their inverses.
These formulas are considered tough because they are complex and require a deep understanding of trigonometry and mathematical concepts to be applied effectively. They are often used in advanced calculations and can be challenging to memorize and manipulate.
The "Tough Twelve Trig Formulas" are used in a variety of fields, including engineering, physics, and astronomy. They are used to calculate the relationships between angles and sides in triangles, which is useful in measuring distances, constructing buildings, and designing machines.
One way to remember these formulas is by practicing and applying them in different scenarios. You can also create flashcards or mnemonic devices to help you memorize them. Additionally, understanding the underlying concepts and relationships between the formulas can make them easier to remember and apply.
Yes, there are some shortcuts and tricks that can make using these formulas easier. For example, the Pythagorean identities can be used to simplify some of the formulas. Additionally, knowing the unit circle and common angles can help you quickly identify the values of trigonometric functions in certain scenarios.