Advanced Functions
12th Grade
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Class notes
Trigonometric Identities & Solving Trig Equations – Grade 12 / First-Year Math Notes
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---3December 20252025/2026
- This document provides comprehensive Grade 12 and first-year pre-calculus notes on trigonometric identities and solving trigonometric equations. It includes all fundamental identities, clear rules for proving identities, step-by-step worked examples, and methods for solving equations within a given interval. Designed for Advanced Functions (MHF4U) and equivalent courses, these notes are perfect for exam preparation, homework help, and concept review.
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Class notes
Unit 8: Combining Functions
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---4February 20242023/2024
- These notes focus on combining functions, specifically, the sum and difference of a function, characteristics of the sum and difference, product and quotients of functions, composite functions, graphing
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riagujare
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Class notes
Unit 6: Exponential and Logarithmic Functions
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---6February 20242023/2024
- These notes talk about exponential and logarithmic functions, specifically, exponential and its inverse, log functions, transformation of log functions, power law of log, making connections
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Class notes
Unit 5: Solving Trigonometric Equations
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---5February 20242023/2024
- These notes focus on solving trigonometric equations including periodic functions, sinusoidal functions, transformations, transformation of trig functions, solving trig equations, graphing
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Class notes
Unit 4: Trigonometry
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---7February 20242023/2024
- These notes talk about trigonometry, specifically, radian measure, converting angle measure, exact values, unit circle, equivalent trig expressions, trig identities
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riagujare
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Class notes
Unit 2: Solving Polynomial Equations
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---8February 20242023/2024
- These notes focus on solving polynomial equations including the factor and remainder theorem, integral zero theorem, rational zero theorem, polynomial inequalities, families of polynomials
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Class notes
Unit 1: Polynomial Functions
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---6February 20242023/2024
- These notes explore the basic polynomial functions, including power functions, end behaviors, symmetry, types of roots, intervals, finite differences, and calculating AROC and IROC.
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