Trigonometry
Apply trigonometric ratios, the sine rule, cosine rule, and area formula to solve triangles.
Active lessons
16
Status
Active
Lesson flow
Learn -> Guided Practice -> Independent Practice -> Mastery Quiz
How to use this unit
- Start from lesson 1 and move through the pathway in order.
- Use guided practice before attempting independent practice.
- Mastery quizzes check whether the skill is ready for review or extension.
Unit pathway
Lesson pathway
16 of 16 active
Lesson 1
Identifying Triangle Sides
Identify the hypotenuse, opposite and adjacent sides relative to a marked angle in a right triangle.
Lesson 2
Writing and Selecting Trig Ratios
Write sin, cos and tan ratios from labelled right triangles and select the correct ratio for a pair of sides.
Lesson 3
Finding Sides Using Sin and Cos
Use sin and cos to find unknown sides in right triangles involving the hypotenuse.
Lesson 4
Finding Sides Using Tan
Use tan to find unknown opposite or adjacent side lengths without using the hypotenuse.
Lesson 5
Finding Angles Using Inverse Trig
Apply inverse sin, inverse cos or inverse tan to find an unknown angle in a right triangle.
Lesson 6
Angles of Elevation and Depression
Model elevation and depression contexts as right triangles and solve for heights, distances or angles.
Lesson 7
Sine Rule - Finding Sides
Use the sine rule to find unknown sides in non-right-angled triangles.
Lesson 8
Sine Rule - Finding Angles
Use the sine rule and inverse sine to find unknown angles in non-right-angled triangles.
Lesson 9
Cosine Rule - Finding Sides
Use the cosine rule to find a side from two sides and the included angle.
Lesson 10
Cosine Rule - Finding Angles
Rearrange the cosine rule to find an unknown angle from three sides.
Lesson 11
Area of a Triangle
Calculate triangle area using one half ab sin C and rearrange the formula in simple cases.
Lesson 12
Bearings
Read and write three-digit bearings and solve navigation problems using trigonometry.
Lesson 13
6E Applications in 3D
Solve 3D problems by locating right-angled triangles and applying right-triangle trigonometry.
Lesson 14
6I The Unit Circle
Define the unit circle and read cosine and sine as the x- and y-coordinates of a point on it.
Lesson 15
6J Graphs of Trigonometric Functions
Read the graphs of sine and cosine as motion around the unit circle, with period and amplitude.
Lesson 16
6K Exact Values and Trig Equations
Use exact trig values of special angles and solve basic trig equations by coordinate reasoning.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.