Cheat Sheets

Trigonometry

Definitions of all six trigonometric functions using right-angled triangle ratios and unit circle coordinates. Radian and degree conversion formulas with circle diagrams. Interactive unit circle labeling function values at key angles (0, π/6, π/4, π/3, π/2, etc). Derivatives and antiderivatives of each function. Complete list of Pythagorean, reciprocal, quotient, and cofunction identities. Graph shapes, periods, asymptote positions, amplitude changes, and horizontal/vertical shifts. Application of trigonometry in real-world angle and distance problems, including inverse trig functions and their domains/ranges.