Master trigonometric ratios, special angles, identities, equations, and graphs
Trigonometry is the study of relationships between angles and sides in triangles. This topic covers the fundamental concepts you'll need for Grade 10 and beyond, including trigonometric ratios, special angles, identities, equations, and graphs.
Learn SOH CAH TOA, identify opposite, adjacent, and hypotenuse sides, find unknown sides and angles
ExploreMemorize sin, cos, tan values for 0°, 30°, 45°, 60°, 90° using geometric derivations
ExploreUnderstand and apply the quotient identity and Pythagorean identity to simplify expressions
ExploreSolve equations of the form sin θ = k, cos θ = k, and tan θ = k using reference angles
ExploreSketch and interpret sine, cosine, and tangent graphs with transformations
ExploreTest your understanding of trigonometry before diving into the topics.
Hint: Remember the Pythagorean identity - it's one of the most important!
Use this Trigonometry section to connect right-triangle ratios, special angles, equations, and graphs. Label the triangle first, choose the correct ratio, and check whether the question needs an angle, a side length, or a graph feature.
A useful path from this page is to begin with Trigonometric Ratios, continue with Special Angles, and then test your understanding with Trigonometric Identities. Do not rush through the links; spend time on the examples and make sure you can explain the main idea without looking at the notes.
Use this page to build definitions, worked examples, formulas, diagrams, and problem-solving methods. Write down key terms, formulas, diagrams, or steps that appear often so that revision becomes active instead of just rereading.
Keep a correction book for sign errors, formula mistakes, geometry reasons, and questions that need more practice. After each lesson, close the page and try a short self-test from memory before checking your notes again.
If you are stuck, start with algebra basics and number skills, because many later topics depend on accurate manipulation and clear working. If a topic feels too difficult, return to the previous link, revise the basics, and then try the examples again before using past papers.
