Edexcel IGCSE Maths 复习笔记 4.10.2 Sine & Cosine Rules, Area of Triangle - Harder

Edexcel IGCSE Maths 复习笔记 4.10.2 Sine & Cosine Rules, Area of Triangle - Harder

Choosing which rule or formula to use

  • It is important to be able to decide which Rule or Formula to use to answer a question
  • This table summarises the possibilities:




Using the cosine rules to find angles





Exam Tip

In more involved exam questions, you may have to use both the Cosine Rule and the Sine Rule over several steps to find the final answer.If your calculator gives you a ‘Maths ERROR’ message when trying to find an angle using the Cosine Rule, you probably subtracted things the wrong way around when you rearranged the formula.The Sine Rule can also be written ‘flipped over’:7.19.1-Sine-Cosine-Rules-Area-of-Triangle-basic-RN-2This is more useful when we are using the rule to find anglesWhen finding angles with the Sine Rule, use the info in the question to decide whether you have the acute angle case (ie the calculator value) or the obtuse angle case (ie, minus the calculator value).The Cosine Rule will never give you an ambiguous answer for an angle – as long as you put the right things into the calculator, the answer that comes out will be the correct angle

Worked Example

In the following triangle:General-Triangle-with-values-2a) Find the size of angle ABC.

b) Given that angle ACB is obtuse, use the Sine Rule and your answer from (a) to find the size of angle ABC.

Give your answers accurate to 1 d.p.

Worked Example