Trigonometry
Apply trigonometric ratios, the sine rule, cosine rule, and area formula to solve triangles.
Active lessons
12
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
12 of 12 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.
Part of the Online Learning Package
Unit previews stay public, while individual lessons require active online learning access.