Walter Maths Academy

Introduction

Definitions of sinh and cosh - Worked Examples 1

Definitions of sinh and cosh - Worked Examples 2

Hyperbolic Identities

Hyperbolic Graphs

Hyperbolic Graphs - Worked Examples

Inverse Hyperbolic Functions

Inverse Hyperbolic Functions - Worked Examples

Condensed Worked Solutions

Implicit differentiation

Implicit differentiation - Worked Examples

Parametric differentiation

Parametric differentiation - Worked Examples

Maclaurin's Series

Maclaurin's Series - Worked Examples

Differentiating hyperbolic functions

Differentiating hyperbolic functions - Worked Examples

Differentiating inverse trigonometric functions

Differentiating inverse hyperbolic functions

Condensed Worked Solutions

Integrating Hyperbolic Functions

Integration Using Hyperbolic and Trigonometric Functions

Reduction Formulae

Reduction Formulae - Worked Examples 1

Reduction Formulae - Worked Examples 2

Reduction Formulae - Worked Examples 3

Estimating Area Under a Curve

Estimating Area Under a Curve - Worked Examples 1

Estimating Area Under a Curve - Worked Examples 2

Estimating Area Under a Curve - Worked Examples 3

Finding Arc Length (Curve in Cartesian Form)

Finding Arc Length (Curve in Parametric Form)

Finding Arc Length (Curve in Polar Form)

Surface Areas of Revolution (Curve in Cartesian Form)

Surface Areas of Revolution (Curve in Parametric Form)

De Moivre's Theorem

De Moivre's Theorem - Proof by induction

De Moivre's Theorem - Trigonometric ratios of multiple angles

De Moivre's Theorem - Trigonometric ratios of multiple angles (Worked Examples 1)

De Moivre's Theorem - Trigonometric ratios of multiple angles (Worked Examples 2)

De Moivre's Theorem - Powers of Sine and Cosine

De Moivre's Theorem - Powers of Sine and Cosine (Worked Example)

De Moivre's Theorem - nth Roots of Unity

De Moivre's Theorem - nth roots of Unity (Worked Example)