Fractions and Decimals
Ratio and Proportion
Indices & Standard Form
Algebra and Graphs
Trig Word Problems
Sine and Cosine Rule
Area of any Triangle
Angles of Elevation/Depression
Vectors, Matrices and Transformations
Collecting and displaying data
What is Trigonometry
We can use trigonometry to calculate lengths and angels in right-angled triangles. You will have to solve questions on your IGCSE GCSE maths exam involving trigonometry. In order to understand trigonometry you need to start at the beginning. Therefore I encourage you to take your time and examine the maths activities on this page carefully.
If you want to be successful on your maths exam when answering questions involving trigonometry, make sure to take time when you approach a question. Analyse each situation and properly identify the sides of the triangle. The hypotenuse is the hypotenuse, but what your adjacent and opposite sides are depend on the angle. Have a look at the following videos which will show you step by step what you are expected to do for this important mathematical topic.
Using Trigonometry to calculate an angle in a right-angled triangle
We can also use trigonometry to calculate angles in right angled triangles. To choose to correct ratio (tangent, cosine or sine) to calculate the angle, take a moment to name the three sides of the triangle (hypotenuse, adjacent, opposite). When you know which ratio to use, to find the angle you will have to do the inverse of your chosen ratio. Your calculator will do that for you ('shift' 'sin/cos/tan'). Do not forget that angles need to be rounded correctly to 1 decimal place. Have a look at the next video which will give you example questions in which you will learn how to find an angle in a triangle with Trigonometry.
Solving Example Questions about Trigonometry
Once you have studied the videos above which introduce this important GCSE IGCSE maths topic, you can try the example questions below. I encourage you to solve the questions yourself first before looking at my workings and answers (by pausing the video at the beginning). When you are able to answer all the example maths questions during your maths revision, you know you are well prepared for your next maths exam. Tell me on the forum of this website if you don't understand Trigonometry and need help with Trigonometry. I will make some more maths videos for you.
Activity Worksheet and example questions Trigonometry
I have created two maths worksheets for you so you can practise even more. You can also download the documents for FREE or work from the embedded document below. If you want to pass your IGCSE GCSE maths exam then you should try to answer all questions yourself first before looking at my answers. The answer key is included (second page of the document). Good luck and have fun!
Past Paper Question involving Trigonometry, Circle Theorems and Arc length
A students asked me to help with this past maths exam question. The question comes from a past IGCSE paper. I will explain to you how to use trigonometry, circle theorems and our understanding of how to calculate the length of an arc in order to answer this question. I hope it will be useful during your maths revision!
Past Exam Paper about Trigonometry, Pythagoras' Theorem, Cosine rule and Volume of Prisms
Check the following video in which I solve a past paper question. I will explain to you how to use trigonometry and Pythagoras' theorem to calculate lengths. I will also show you what the cosine rule is and how to calculate the volume of a prism. So a lot of topics in 1 question which means it is an excellent video to watch during your maths revision!