Study with Me – Inverse Functions and Inverse Trigonometric Functions (Ext 1 Only)
Characteristics of Inverse Functions, Curve Sketching and Calculations Involving Inverse Trigonometric Ratios
In this video, I will demonstrate how to answer some typical and advanced inverse function exam questions using examples from real exams under Extension 1 Maths (3U) course. Examples include:
The horizontal line test, sketching the inverse function through reflection across y=x, the algebra relationship between a function and its inverse
Inverse trigonometric functions domain and range restrictions and their graphs
Calculations using inverse trig ratios, including application of compound angle rules
This is relevant for both Year 11 and Year 12 students preparing for HSC Mathematics and HSC Maths Extension 1 for 2020 and onwards.
Pumped for some extra practice? Here’s a revision question set on inverse functions for you to try at home.