Curriculum Coverage

Currently the interactive textbook covers the following points in the Queensland Maths curriculum (2025):

(green represents covered points, orange represents points that will be covered in future updates)

Topic 4: Trigonometric functions

Sub-topic: Circular measure and radian measure (2 hours)

• Define and use radian measure and understand its relationship with degree measure.
• Calculate lengths of arcs and areas of sectors in circles.

Sub-topic: Introduction to trigonometric functions (8 hours)

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