IB Maths AA SL 3.7 - Trigonometric Functions

This IB Maths AA SL Topic 3.7 – Trigonometric Functions resource develops students’ understanding of the graphs and properties of sin(x), cos(x), and tan(x). It begins by reviewing the amplitude, period, domain, range, central axis, x-intercepts, and vertical asymptotes of the three fundamental trigonometric functions. Students then learn how these features change in composite functions of the form y = a sin(b(x + c)) + d, y = a cos(b(x + c)) + d, and y = a tan(b(x + c)) + d.

The lesson develops confidence in identifying amplitude, period, horizontal shift, central axis, range, asymptotes, and intercepts from a given equation. Students also apply transformation rules to sketch and interpret trigonometric graphs. The resource extends these ideas into real-world modelling, including Ferris wheel height and tidal variation, where students determine suitable sinusoidal equations from maximum and minimum values, centre height, period, and starting position. With clear property summaries, worked examples, graphing practice, modelling tasks, equation-solving questions, and fully worked solutions, this resource helps SL students build strong graphical and algebraic fluency with trigonometric functions in line with IB Mathematics AA expectations.