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1. Work out the length of the unknown side in each triangle. Give your answers correct to 3 significant figures. a b c d. Answers.
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A 24 00 ch 9 a | Version 1.1 | September 2020
Scheme of work: 4a. Trigonometric ratios and graphs
a^2^ = b^2 + c^2^ - 2 bc cos A w^2^ = 82 + 72 - 2 ´ 8 ´ 7 ´ cos 45°
A 24 00 ch 9 a | Version 1.1 | September 2020 Example 2 Work out the size of angle θ. Give your answer correct to 1 decimal place. θ = 122.878 349... θ = 122.9° 1 Always start by labelling the angles and sides. 2 Write the cosine rule to find the angle. 3 Substitute the values a , b and c into the formula. 4 Use cos−1^ to find the angle. 5 Use your calculator to work out cos–^1 (–76 ÷ 140). 6 Round your answer to 1 decimal place and write the units in your answer. Practice questions 1 Work out the length of the unknown side in each triangle. Give your answers correct to 3 significant figures. a b c d Answers 6 a 6.46 cm b 9.26 cm c 70.8 mm d 9.70 cm 2 2 2 cos 2 b c a A bc
cos 2 10 7 q
76 cos 140 q
=