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Advanced Trigonometry

A self-marking exercise on the sine rule, cosine rule and the sine formula for finding the area of a triangle.

Sine Rule Cosine Rule Sine Formula Exam-Style Help More Trigonometry

This is level 1, Sine Rule. All lengths are in centimetres unless stated otherwise. Give all answers to three significant figures.

Find the size of the lettered sides and angles.

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cm Correct Wrong

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cm Correct Wrong

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cm Correct Wrong

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cm Correct Wrong

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cm Correct Wrong

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cm Correct Wrong

Triangle ABC has side AB of length 6cm, angle ACB is 62° and angle CAB is 47°. Find the length of side CB in centimetres.

cm Correct Wrong

A lighthouse is due north of a boat. A whale is spotted 0.6km from the boat on a bearing of 043°. What is the bearing of the whale from the lighthouse if the distance between them is 0.9km?

° Correct Wrong

Brimton is 38 km due south of Allstown. Cripton is on a bearing of 305° from Brimton and Cripton is on a bearing of 220° from Allstown. Find the distance from Cripton to Allstown.

km Correct Wrong

Triangle XYZ has an obtuse angle at Z. If XY = 15cm, YZ = 10cm and angle YXZ = 31° find the size of angle XZY in degrees.

° Correct Wrong

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Instructions

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.

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Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

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"A really useful set of resources - thanks. Is the collection available on CD? Are solutions 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.

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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.

Teachers

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:

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Exercise/Advanced_Trigonometry/Default.asp?

Sine Rule

Sine Rule

Cosine Rule

Sine Rule

Sine Formula

Sine Rule

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.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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