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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 Mixed Questions Exam Help More

This is level 2, Cosine Rule. All lengths are in centimetres unless stated otherwise. Give all answers to three significant figures. The diagrams are not drawn to scale.

Find the size of the lettered sides and angles.

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cm Correct Wrong

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cm Correct Wrong

Image

cm Correct Wrong

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° Correct Wrong

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° Correct Wrong

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° Correct Wrong

In triangle ABC, AB = 22 cm, AC = 17 cm and BC = 12 cm. Find the size of angle BAC in degrees.

° Correct Wrong

Calculate the perimeter of triangle DEF if DE = 87cm, DF = 78cm and angle EDF is 41°.

cm Correct Wrong

A drone flies due north for 11km then flies on a bearing of 189° for 6 km. The drone then flies back to its starting position. Find the total distance travelled by the drone.

km Correct Wrong

The three vertices of a triangle are at A(3,4), B(7,5) and C(5,11). Find the angle ABC.

° 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.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Whose Idea Was This?

Did you enjoy doing this 'Advanced Trigonometry' activity? Are you curious about who originally came up with this idea in Maths? Discover more about one of the mathematicians who is associated with this concept.

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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.

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