Trigonometric ratios
Section overview:
The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
Prior knowledge: GCSE Trigonometry
P1-Chp9-TrigonometricRatios.pptx
Extra resources:
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Playlist 1 - Trig ratios and rules
Playlist 2 - Trig graphs and transformations
Extra fun! Note that the later trig functions (secant, cosecant, cotangent) will be covered in Y13: Trigonometric functions
Full article: https://betterexplained.com/articles/intuitive-trigonometry/
Extra cosine rule article: https://betterexplained.com/articles/law-of-cosines/
Extra sine rule article: https://betterexplained.com/articles/law-of-sines/
Interactive simulation:
See trigonometry in action!
Explore the different representations of the trigonometric functions. You can also test yourself on your exact values ('special angles') and visualise them using the different graphical forms. Can you predict each of these before showing the answer?
Extension: We will be using a different way of measuring angles for much of Y13 (radians). Can you see how these relate to the unit circle and to the trig graphs?