Trigonometry For Anyone Studying Uk A Level Year 1 Pure Math

What you'll learn
AS and Year 1 Trigonometric Syllabus
Trigonometric Identities
Unit Circles and Trigonometric Ratios
Solving Trigonometric Equations Using Graphs
Solving Trigonometric Equations Using CAST Diagram
Trigonometric Proofs
Requirements
Good knowledge of GCSE maths or equivalent.
Description
This course is for anyone studying Trigonometry in A level pure mathematics.In this course, you will learn all the necessary theorems required for the first year in just 2 hours' time. This includes plenty of example questions and five exam style questions from past papers.This course covers AS Level content based on new syllabus introduced in 2017.This course lectures are prepared at the highest quality with clear figures and graphs as you see in the free preview videos.The aim of this course is to teach you this chapter in the shortest possible time without compromising the quality and not leaving any topics.More than 20 example questions (including five exam-style questions) are explained. Most of these questions are the same or similar to the past paper questions.Topics to be covered in this course:AS and Year 1 Trigonometric Syllabus. The syllabus is covering all the necessary topics to be tested by exam boards in the UK.Trigonometric Identities - learn about the properties of triangles and right-angle triangles; trigonometric ratios; Sin, cos and tan; Proofs for Sine rule and Cosine rule; Area of triangleUnit Circles and Trigonometric Ratios - learn about sine and cosine graphsSolving Trigonometric Equations Using GraphsSolving Trigonometric Equations Using CAST (Cosine-All-Sine-Tan) DiagramTrigonometric Proofs - These proofs use example questions from past papers.
Overview
Section 1: Right-angled triangles and other triangles
Lecture 1 Right-angled triangles and other triangles
Section 2: Proofs: Sine Rule, Cosine Rules, and Area of Triangle
Lecture 2 Sine Rule Proof
Lecture 3 Cosine Rule Proof
Lecture 4 Area of a Triangle Proof
Section 3: Examples
Lecture 5 Example 1: Trigonometric Ratios - Part I
Lecture 6 Example 2: Trigonometric Ratios - Part II
Lecture 7 Example 3: Sine Rule
Lecture 8 Example 4: Cosine Rule
Section 4: Trigonometric Values from Unit Circle
Lecture 9 Sin Graph and Cosine Graph
Lecture 10 Example
Section 5: Trigonometric Identities
Lecture 11 Tan theta and Sin2theta + Cos2theta = 1
Lecture 12 Tan(theta) Proof
Lecture 13 Sin2(theta) + Cos2(theta) = 1 Proof
Lecture 14 Examples: Trig Identities - Part I
Lecture 15 Examples: Trig Identities - Part II
Section 6: Trigonometric Graphs
Lecture 16 Introduction to Sin, Cos, and Tan graphs
Lecture 17 Example 1: Trigonometric Graphs
Lecture 18 Example 2: Trigonometric Graphs
Section 7: Solving Trigonometric Equations Using Graphs
Lecture 19 Example 1: Using Graphs to solve Trigonometric Equations
Lecture 20 Example 2: Using Graphs to solve Trigonometric Equations
Section 8: Solving Trigonometric Equations Using CAST Diagrams
Lecture 21 CAST Diagram Introduction
Lecture 22 Example 1: Solving Trig Equations Using CAST Diagrams
Lecture 23 Example 2: Solving Trig Equations Using CAST Diagrams
Lecture 24 Example 3: Solving Trig Equations Using CAST Diagrams
Section 9: Exam Type Questions
Lecture 25 Difficult Exam Type Question 1
Lecture 26 Difficult Exam Type Question 2
Lecture 27 Difficult Exam Type Question 3
Lecture 28 Difficult Exam Type Question 4
Lecture 29 Difficult Exam Type Question 5
Anyone interested in working through an introductory course in trigonometry!,Anyone is planning to take A-level maths.


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