Starter. The Cosine Rule. What the Cosine Rule is and how to apply it to triangles. I can write down the Cosine Rule from memory.

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1 Strter 1) Find the re of the green tringle. 12.8m 2) 2 4 ( + ) x o 9.7m The Cosine Rule Tody we re lerning... Wht the Cosine Rule is nd how to pply it to tringles. I will know if I hve een suessful if... I n write down the Cosine Rule from memory. I n hoose the orret prts of the Cosine Rule to use. I n solve prolems involving the Cosine Rule.

2 The Sine Rule Given ny tringle... C A B Then... sin(a) sin(b) sin(c) We n use this to find missing lengths nd missing ngles. The Sine Rule Do not opy this down yet! Find the length of AC. sin(a) sin(b) sin(c) C 7m B o 70 10m A We n use this to find missing lengths nd missing ngles.

3 The Sine Rule Do not opy this down yet! Find the length of AC. sin(a) sin(b) sin(c) C 7m The Sine Rule does not work B o 70 10m A for this exmple so we need nother wy to solve it. We n use this to find missing lengths nd missing ngles. The Cosine Rule Given ny tringle... C A B Then os(a) We use this rule when we re given two lengths nd the ngle in etween them.

4 The Cosine Rule Copy this down! Find the length of AC. C os(a) 7m A o 70 10m B We use this rule when we re given two lengths nd the ngle in etween them. The Cosine Rule Copy this down! Find the length of BC os(a) C 12.3m BC 11.8m B Answer 25 o A 15m 1.2 Using the Cosine Rule to Clulte Side

5 Answers Strter 1) Find the missing length using the sine rule. 97 o? 43 o 12.1m 2) Find the missing length using the osine rule. 8m 139 o? 13m

6 Tody we re lerning... Cosine Rule - Missing Angles How to use the Cosine Rule to find missing ngles. I will know if I hve een suessful if... I n write down the Cosine Rule from memory. I n hoose the orret prts of the Cosine Rule to use. I n find missing ngles using the Cosine Rule. The Cosine Rule - Missing Angles Copy this down! Clulte the size of ngle BAC to 3sf os(a) A 19m 20m B 30m C

7 The Cosine Rule - Missing Angles Copy this down! Clulte the size of ngle BAC to 3sf. C os(a) 7.98m 16.94m A 8.35m B Prtie Booklet Pge 7 Answers to Follow os(a)

8 Answers Summry Mke your own version of this tle in your jotters... - When finding missing ngle wht formul should I use?

9 Strter 1) Find the missing length of the tringle.? 23m 121 o 2) Find the missing ngle on the ornge tringle. 15m 9.8m? 7.8m 11.9m Trigonometry Exm Questions Tody we re lerning... How to nswer rnge of trigonometry exm questions. I will know if I hve een suessful if... I n identify the orret eqution to use. I n pply the eqution. I n fully nswer exm style questions.

10 The Rules or Equtions Are of tringle... A 1 2 Sin(C) Use this if questions involves re t ll. Cosine Rule os(a) Sine Rule... 8m 26 o or ll 3 lengths. 7m sin(a) sin(b) sin(c) Otherwise use Sine Rule Exm Questions Using Trigonometry. Firrhill.org -> Mths -> Stff -> Mr Welford -> S4 Nt 5 Exm Style Questions Pge 11 nd 12 Questions 1-6 Answers soon. Exm Questions Using Trigonometry. Firrhill.org -> Mths -> Stff -> Mr Welford -> S4 Nt 5

11 Answers Summry Go into the lerning tools pp. Selet the whiteord. You will see 9 questions. All you need to do is pik wht eqution would you use?

12 The Rules or Equtions Are of tringle... A 1 2 Sin(C) Use this if questions involves re t ll. Cosine Rule os(a) Sine Rule... 8m 26 o or ll 3 lengths. 7m sin(a) sin(b) sin(c) Otherwise use Sine Rule Question 1 Are Formul? os(a)

13 Question 2 Are Formul? sin(a) sin(b) sin(c) Question 3 Are Formul? A 1 2 Sin(C)

14 Find the re of the tringle. Question 4 Are Formul? A 1 2 Sin(C) Clulte the ngle <TSQ Question 5 Are Formul? os(a)

15 Question 6 Are Formul? sin(a) sin(b) sin(c) Question 7 Find the ngle X Are Formul? A 1 2 Sin(C)

16 Question 8 Are Formul? sin(a) sin(b) sin(c) Question 9 Find the ngle <PYL Are Formul? os(a)

17 Trigonometry Exm Questions Tody we re lerning... How to nswer rnge of trigonometry exm questions. I will know if I hve een suessful if... I n identify the orret eqution to use. I n pply the eqution. I n fully nswer exm style questions.

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