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Trigonometric Functions and Graphs

We have below bronze, silver and gold tutorials for our Higher Maths Trigonometric Functions and Graphs topic. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Be sure to mark your work for every exercise attempted and record your score and time taken in your recording grid.

 

Essential prior knowledge:-

 

National 5 Maths; REL 1.5a

  • Identifying features on trigonometric graphs
  • Sketching graphs of trigonometric functions

 

Contents:-

 

5.1 - Changing between degrees and radians

5.2 - Graphs of trigonometric functions

5.1 - Changing between degrees and radians

In  this module we learn what radians are and how to change between degrees and radians. We also learn about exact values and how to use them to evaluate trigonometric functions. Well worth a watch!

Video 43: Outcome 1 - Changing radians into degrees. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 44: Outcome 2 - Changing degrees into radians. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 45: Outcome 3 - Exact values. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?

If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.

5.2 - Graphs of Trionometric Functions

At bronze and silver level we learn how to identify key features on trigonometric graphs. At gold level we practice sketching trickier graphs with shift changes to the left or right.

Video 46: Outcome 1 - Finding the values of a and b. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 47: Outcome 2 - Finding the values of a, b and c. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 48: Outcome 3 - Sketching graphs of trickier trigonometric functions. This is the final video in this module. After completing the questions why don't you try the past paper questions on this section at the bottom of the page?

If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile. After this, check to see if there are any past paper questions for this module at the bottom of this page to try.

Past Paper Questions

Multiple Choice Questions

We have below a selection of Multiple Choice Exam questions. Although the exam is not in this format any more these questions provide an excellent opportunity to quickly test you on your knowledge of the topic before you try the longer questions in the section after this. To try the questions, just click on the links below.

 

5.2 - Graphs of trigonometric functions

SQA Exam Questions

You will find below a collection of Trigonometric Functions and Graphs SQA past paper questions. You should click on a question, pause the video when instructed and give the question your best shot. Then un-pause the video and watch the worked solution. If the question is from paper 1 you should NOT use a calculator. You should make this section a regular place to come back to when revising. Even if you get the correct answer, it is recommended that you try all these questions more than once at various stages throughout the year.

 

5.2 - Graphs of trigonometric functions

Congratulations!

You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!

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