Trigonometry Cheat Sheet for definitions, properties, and identities of Circular & Hyperbolic functions and their inverses. θ, φ, x, and y are all real numbers, with θ and φ in radians. z is a complex variable of the form a+bi, where a and b are real numbers, and i is the imaginary unit.
C=Circular, H=Hyperbolic, I=-Inverse
Algebraic and trigonometric steps to evaluate integrals involving powers of different trigonometric functions. For problems involving powers of trigonometric functions that are both less than 4, other methods may be simpler. For large powers, reduction formulas are recommended.
Trigonometric identities and common trigonometric integrals. Note that θ is often interchangeable with x as a variable, excluding trigonometric substitutions. Most important formulas and identities are bolded.
Image Sources:
1. https://www.dummies.com/article/academics-the-arts/math/trigonometry/right-triangle-definitions-for-trigonometry-functions-157278/
2. https://andymath.com/unit-circle/
3. https://study.com/academy/lesson/graphing-tangent-from-the-unit-circle.html
Graphics sourced from these websites:
Conic Cross-Sections
https://www.ck12.org/book/ck-12-algebra-ii-with-trigonometry-concepts/section/10.0/
Labelled Parabola, Ellipse, and Hyperbola
https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_%28Apex%29/09%3A_Curves_in_the_Plane/9.01%3A_Conic_Sections
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