Y2 Trigonometry

Trig is a big part of the second year of A-Level. It build significantly on what you have learned at GCSE and in the first year. To prepare you can review the work already covered here:

• GCSE Trig

• Y1 Trig

You will learn:

• How to use radians as a measure for an angle. This will be used to solve equations and also in a geometric context.

• Solving more complex trig equations

• Using small angle approximations

• Reciprocal trig functions: cosec, sec and cotan

• Some new trig identities

• Compound angle formula

• Double angle formula

• Inverse Trig functions

• Harmonic form

Radians - Basics

Introduction

Convert between Radians and Degrees

Arc length

Sector area

Solving equations in radians

Reciprocal Trig Functions - sec, cosec, cot

Reciprocal Functions - Intro

Graphs: cosec, sec, cot

Graphs: Transformations

Inverse Trig Functions - arcsin, arccos, arctan

Intro: arcsin, arccos, arctan

Why restrict the domain?

Transformations

Trig Identities

Proof: tan^2x + 1 = sec^2x

Proof:  cot^2x + 1 = cosec^2x

Simplifying Expressions

Examples

Compound and Double Angle Formula

Compound angle formulae

Double angle formulae

Harmonic Form (R Formula)

Example 1

Example 2

Examples 3

Harmonic form problem

Small Angle Approximations

Intro and Examples