Trigonometry For Anyone Studying Uk A Level Year 1 Pure Math

For all UK Exam Boards (Edexcel, OCR, AQA, and OCR MEI)

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.