C.3 Trigonometric Functions and Equations

The base curves y = sin x, y = cos x, y = tan x — period, amplitude, range, and asymptotes. Transformations y = a sin(b(x − c)) + d with amplitude |a|, period 2π/|b|, phase shift c, and vertical shift d. Modelling real-world periodic data (tides, daylight, oscillations). Solving linear trigonometric equations in a finite interval (reference angle + ASTC + period extension) and quadratic-in-sin/cos/tan equations (substitute, factor, split into linear cases).