Help your students prepare for their Maths GCSE with this free graphing sine, cosine and tangent worksheet of 33 questions and answers
By entering different values of x into the equations y=sin(x), y=cos(x) and y=tan(x), we can plot the graphs of the trig functions sine, cosine and tangent. The graphs can also be created using a unit circle.
We often plot the graphs for values of x from 0o to 360o but we can extend them to show any positive or negative angle.
There are some special features of graphs of trigonometric functions. The graphs of sine and cosine both have an amplitude of 1 and period of 360o. The graph of the tangent function is different from the others and has a period of 180o and also an asymptote every 180o.
Once we have plotted the graphs of the sine function, cosine function and tangent function, we can use these to find solutions, or approximate solutions, to equations involving sin x, cos x or tan x.
Transformations of graphs can also be applied to sine graphs, cosine graphs and tangent graphs. They can undergo stretches, horizontal and vertical shifts and reflections in the same way that any other graph can.
Looking forward, students can then progress to additional geometry worksheets, for example a 3D shapes worksheet or an area of a triangle worksheet.
For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.