How to Graph Trig Functions (Sine, Cosine, Tangent) Definition, Types, Examples & Uses

How to Graph Trig Functions (Sine, Cosine, Tangent)

Subject: Mathematics

Book: Maths Mastery

Sine and cosine graphs oscillate with amplitude (|A|), period (2π/B), phase shift (C/B), and vertical shift D in y=A sin(Bx–C)+D. For instance, y=2 sin(x–π/2) shifts the standard sin curve right by π/2 and doubles its amplitude. Tangent has vertical asymptotes and repeats every π/B. Graphing these accurately is vital for modeling waves, seasonal cycles, or repeating phenomena. Understanding transformations allows real-life data fitting (harmonic motion, sound waves) and deeper insights into cyclical patterns that shape advanced math or scientific analyses.