Introduction to trigonometric functions

Mathematical Methods · Unit 1 — Surds, algebra, functions and probability · Trigonometric functions

Learning objectives (6)

LO-1Model and solve problems that involve trigonometric functions, with and without technology.LO-2Sketch the graphs of 𝑦 = 𝑎 sin(𝑏(𝑥 − ℎ)) + 𝑘, 𝑦 = 𝑎 cos(𝑏(𝑥 − ℎ)) + 𝑘, with and without technology.LO-3Sketch the graphs of 𝑦 = sin(𝑥), 𝑦 = cos(𝑥) and 𝑦 = tan(𝑥) on extended domains.LO-4Solve trigonometric equations, with and without technology, including the use of the Pythagorean identity sin2 (𝐴) + cos2(𝐴) = 1.LO-5Understand and use the exact values of cos(𝜃), sin(𝜃) and tan(𝜃) at integer multiples of π 6 and π 4.LO-6Understand the unit circle definition of cos(𝜃), sin (𝜃) and tan (𝜃) and periodicity using radians.

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