Further trigonometry

1

Introduction to Further Trigonometry

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2

Reciprocal Trigonometric Functions

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3

Graphs of Reciprocal Trig Functions

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4

Pythagorean Identities

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5

Compound Angle Formulas

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6

Double Angle Formulas

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7

Half Angle Formulas

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8

The t-Formulas

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9

Auxiliary Angle Method

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10

Solving Trigonometric Equations — Linear

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11

Solving Trigonometric Equations — Quadratic Type

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12

Solving Trigonometric Equations — Multiple Angles

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13

Module Synthesis & Exam Technique

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14

Review of Trigonometric Foundations

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15

The Auxiliary Angle Transformation

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16

Auxiliary Angle — Worked Examples

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17

Solving $a\cos x + b\sin x = c$

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18

Proving Trigonometric Identities

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19

The t-Formulae Revisited

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20

Solving Equations with t-Formulae

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21

Multiple Angle Equations

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22

Factorising Trigonometric Equations

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23

Combining Techniques

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24

Graphical Solutions of Trig Equations

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25

Contextual Trigonometric Problems

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26

Maximising & Minimising Trig Expressions

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27

Harder Identity Proofs

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28

General Solutions with Restrictions

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29

Mixed Trigonometric Problem Solving

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30

Exam-Style Trigonometry

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31

Module 7 Synthesis & Exam Technique

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