Trigonometry Worksheets & Problems

printable worksheets > trigonometry worksheets

 

Page updated : 15 April 2018

 

Below are a number of worksheets covering trigonometry problems.

 

Trigonometry, at it's most basic level, is concerned with the measurement of triangles - calculations of unknown lengths and angles. The trigometric functions have a number of practical applications in real life and also help in the solutions of problems in many branches of mathematics.

 

In trigonometry we study relationships involving lengths and angles of triangles. During the 3rd century BC, the Hellenistic world developed trigonometry to study astronomy. These early astronomers noticed there was a relationship between the angles inside a triangle and the lengths of the sides. They found if they new either some angles or some lengths or a combination of both, then they could calculate the others. From these early astronomy beginnings, trigonometric functions are used in many fields including physics, engineering, acoustics, surveying and acoustics.

 

High school math students can use these trigonometry problems for study purposes. High School Teachers - you're welcome to copy these worksheets for classroom use. Parents - if you'd like to help your child learn math we suggest you start with our math tutorial section before returning to use these worksheets.

 

Click on any heading to view the worksheet. All worksheets are printable, either as a .gif or .pdf.

 

HIGH SCHOOL TRIGONOMETRY WORKSHEETS

 

In The Park. Calculating angle and sides using trigonometric ratios (diagrams given). Year 10 or 11 Write on? Yes Answers? No Page 1
Trig Graphs. Effect of coefficients on the graphs y=cosx and y=sinx. Year 11 or 12 Write on? Yes Answers? No Page 1		Trigonometry Investigation. Discoveriong Trig Ratios Year 9 or 10 Write on? No Answers? No Page 1
Triangle Test. Finding the unknown side using a mixture of basic trig functions. Year 10 Write on? Yes Answers? No Page 1 Page 2		Year 10 Trigonometry Test. Labelling sides of right angled triangles. Calculating sides using trigonometric ratios. Year 10 Write on? Yes Answers? Yes Page 1 Page 2
		Year 10 Trigonometry Basic trig functions Year 10 Write on? Yes Answers? Yes Page 1 Answers (PDF)
Triangle Test Finding the unknown side using a mixture of basic trig functions Year 10 Write on? Yes Answers? No 2 pages (PDF)		Practising Pythagorus Diagrams and word problems Year 11 Write on? No Answers? Yes 2 pages (PDF)
Trigonometry Investigation Discovering trig ratios Year 9 Write on? No Answers? No Page 1 (PDF)		Dot-to-dot. Trig ratios. Calculating angles. Year 10 Write on? Yes Answers? Yes Page 1 Page 2
Trigonometry - Labelling Triangle Sides. Notes and exercises. Year 10 Write on? No Answers? No Page 1		Trigonometry - Finding Angles. Notes and exercises. Year 10 or 11 Write on? No Answers? Yes Page 1 Page 2
Trigonometry - Finding Sides (1). Notes and exercises. Year 10 or 11 Write on? No Answers? Yes Page 1 Page 2		Trigonometry - Finding Sides (2). Notes and exercises. Year 11 Write on? No Answers? Yes Page 1 Page 2

 

A note about year levels

Where appropriate each worksheet is given a year level that it is applicable to. As we're all in different countries the year level corresponds to the number of years at school. So, for example, a worksheet for Year 11 is for students in their 11th year of school.
Worksheets for earlier or later years may still be suitable for you.

 

 

 

Please note : This is a free service and these worksheets are supplied on 'as is' basis. We will not enter into any correspondence on the content of the worksheets, errors, answers or tuition.

 

 

 

 

 

TRIGONOMETRY TUTORIALS

• Trigometric Ratios
  We can use Pythagoras' Theorem (see above) to calculate the length of an unknown side in a right-angled triangle when we are given information about the lengths of 2 other sides.
  However, if we are given information about an angle (other than the 90 degrees) and one side and need to calculate the length of another side then we use the trig ratios.
  This first tutorial takes you through naming the sides of a triangle and an introduction to the trig ratios.
  This tutorial is suitable for students in Year 10 or 11.
• Calculating sides using the trigometric ratios.
  We can use trig ratios to calulate the length of a side on a triangle if we know the length of one side and the size of one angle.
  You will need a scientific calculator for this tutorial
  This tutorial is suitable for students in Year 11 or 12.
• Calculating angles using the trigometric ratios.
  OK, so probably saw this coming. If you know the length of the two sides of a right-angle triangle then you can caculate the size of the other angles inside the triangle. Nifty huh? We're really getting to know stuff about right-angle triangles.
  You will need a scientific calculator for this tutorial
  This tutorial is suitable for students in Year 11 or 12.