Common Trig Ratios and Trig Equations
Finding the exact values of sine, cosine and tangent of special angles and solving trigonometric equations.
Give the exact value for the following trig ratios. Use the / symbol to show a fraction and the root button to insert the square root sign. For example sin 45° = 1/√2
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.
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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.
Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:
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© Transum Mathematics :: This activity can be found online at:
Level 1 - Find exact trig values for special angles up to and including ninety degrees
Level 2 - Find exact trig values for angles between ninety and three hundred and sixty degrees
Level 3 - Find the indicated lengths by solving trigonometric questions with exact solutions
Level 4 - Solving trigonometric equations with given domains
Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).
More Trigonometry including visual aids, investigations and self-marking exercises.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.