9 grade
Sine, cosine and tangent
This test applies sine, cosine and tangent in right triangles. Tasks teach students to select the correct trigonometric ratio, find an unknown side or angle and use fundamental identities.
Tests by topic
Trigonometry
These tests help build a secure understanding of the topic and its solution methods. Choose a test for your grade and practise at your own pace.
Tests by topic
Tests for this topic
9 grade
Applications of trigonometry
Dynamic height, distance, slope, shadow and motion problems using trigonometric ratios.
10 grade
Unit circle and obtuse angles
This test uses the unit circle to determine trigonometric values. Tasks cover quadrants, signs of sine and cosine, obtuse and supplementary angles and checking whether a resulting value is reasonable.
10 grade
Sine and cosine laws
This test applies the sine rule, cosine rule and the trigonometric formula for triangle area. Students select a suitable rule from the given information, calculate sides or angles and assess whether a solution is geometrically valid.
11 grade
Rotation-angle trigonometry
This test explores angles of any magnitude and direction and their representation on the unit circle. Tasks cover coterminal-angle reduction, periodicity and the use of inverse trigonometric functions.
11 grade
Trigonometric functions and equations
This test covers graphs, periods, ranges and signs of sine, cosine and tangent functions. Tasks also develop solution of elementary trigonometric equations and selection of solutions within a stated interval.
12 grade
Trigonometric identities and equations
This test applies fundamental trigonometric identities and methods for solving equations. Students write general solutions, use periodicity and select the values that belong to a specified angular interval.