Common to all four courses, this content applies trigonometric functions to real-world periodic phenomena. Students work with functions of the form f(x) = a sin(b(x + c)) + d and f(x) = a cos(b(x + c)) + d, identifying amplitude, period and principal axis, and fitting sinusoidal models to data. Contexts include tidal patterns, Ferris wheels and temperature cycles. In AI HL the treatment is more detailed, incorporating phase shifts, radian measure and regression to fit sinusoidal models; AI SL students work only in degrees and are not required to translate between sin and cos forms.
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Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
Video lessons
Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.
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