# Exponential, Logarithmic and Trigonometric Functions

### Exponential Functions

### Video

This video by *Professor Dave Explains* gives an introduction to exponential functions and their graphs.

Note: All *Professor Dave Explains* content is available for free at www.youtube.com/professordaveexplains.

### Notes

These notes from mathcentre.ac.uk (pages 1-5) goes into more detail on exponential functions.

Note: pages 9-11 look at the relationship between exponential and logarithmic functions.

A pdf of this document can be downloaded here.

### Interactive Exercises

Use the GeoGebra graphing calculator below to plot the graphs of the exponential functions encountered in the previous notes. Make up some exponential functions of your own and see what the graphs look like.

Please click here to view this calculator in another window.

### Logarithmic Functions

### Videos

This video by *patrickJMT* explains logarithmic functions and in particular what the graphs of logarithmic functions look like.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

### Notes

These notes from mathcentre.ac.uk (pages 5-8) go into more detail on logarithmic functions.

Note: pages 9-11 look at the relationship between logarithmic and exponential functions.

A pdf of this document can be downloaded here.

### Interactive Exercises

Use the GeoGebra graphing calculator below to plot the graphs of the logarithmic functions encountered in the previous notes. Make up some logarithmic functions of your own and see what the graphs look like.

Please click here to view this calculator in another window.

### Sine, Cosine and Tangent Functions

### Videos

This video by *Professor Dave Explains* introduces the sine, cosine and tangent functions.

Note: All *Professor Dave Explains* content is available for free at www.youtube.com/professordaveexplains.

### Notes

These notes from MathCentre are a resource for the trigonometric functions. Try the exercises on page 9 to practise what you have learned.

A pdf of this document can be downloaded here.

### Reciprocal Trigonometric Functions

### Videos

This video from *Khan Academy* is an introduction to the reciprocal trigonometric functions: cosecant, secant and cotangent.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Notes

These notes from mathcentre introduce the reciprocal trigonometric functions, their graphs and some identities involving them.

A pdf of this document can be downloaded here.

### Interactive Exercises

This NUMBAS exercise asks you for some exact values of reciprocal trigonometric ratios.

Please click here to view this NUMBAS question in another window.