A Level Further Maths Revision
A Level Further Maths
For Students Studying AL Further Maths
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Gain Access to all AJMaths A Level Further Maths Revision Videos
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Gain Access to all AJMaths A Level Further Maths Worksheets
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Gain Access to all AJMaths A Level Further Maths Mock Papers
Edexcel A Level Further Mathematics - Core Pure
Hyperbolic Functions
In A Level Further Maths we learn about Hyperbolic Functions. Hyperbolic Functions are analogues of the regular trigonometric functions (sin, cos and tan) but are defined using the unit hyperbola rather than the unit circle. This gives us the hyperbolic functions of sinh, cosh and tanh.
After watching the AJMaths revision videos on Hyperbolic Functions I will be able to:
- Understand what Hyperbolic Functions are and How to Derive them
- Sketch the Graphs of the Hyperbolic Functions
- Derive the Inverse Hyperbolic Functions
- Use Osborn's Rule to Obtain Hyperbolic Trig Identities
- Solve Equations Involving Hyperbolic Functions
- Differentiate Hyperbolic Functions
- Integrate Hyperbolic Functions
- Differentiate Inverse Hyperbolic Functions
- Integrate Inverse Hyperbolic Functions
- Answer Exam Questions on Hyperbolic Functions for A Level Further Maths
Introduction to Hyperbolic Functions
In this video we will take a look at introducing the hyperbolic trig functions of sinh, cosh and tanh.
Sketching the Hyperbolic Functions
In this video we will take a look at how to sketch the hyperbolic trig functions of sinh, cosh and tanh.
Inverse Hyperbolic Functions
In this video we will take a look at how we can define the hyperbolic functions as their inverse in logarithmic form.
Hyperbolic Identities and Osborn's Rule
In this video we will take a look at the main identities that you need to be familiar with when working with the hyperbolic functions. We will also introduce Osborn’s Rule which will allow us to easily derive the hyperbolic identities that we need.
Solving Equations Involving Hyperbolic Functions
In this video we will take a look at how to solve equations that require the use of the hyperbolic trig functions.
Differentiating Hyperbolic Functions
In this video we will take a look at how we differentiate the inverse hyperbolic functions.
Integrating Hyperbolic Functions
In this video we will take a look at how we integrate the inverse hyperbolic functions.
Exam Revision for Hyperbolic Functions
In this video we will answer exam style questions on Hyperbolic Functions.
Worksheets for Hyperbolic Functions
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