The sine rule (AQA GCSE Further Maths): Flashcards

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The sine rule
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Type of triangles sine rule works with

Any triangle (not just right-angled)

Sine rule Form 1 (for angles)

sinAa=sinBb=sinCc\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

Sine rule Form 2 (for sides)

asinA=bsinB=csinC\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

When to use Form 1 of sine rule

To find unknown angles

When to use Form 2 of sine rule

To find unknown side lengths

Triangle notation: sides vs vertices

Lowercase letters for sides, uppercase for vertices

Cases when sine rule applies (given info)

Two angles + one side or two sides + opposite angle

What is the ambiguous case?

Two possible angle solutions when using sine rule to find angle

How to find second angle solution

180°first angle180° - \text{first angle}

When to round in sine rule calculations

Only round final answer, not intermediate steps

How to verify triangle is valid

Check angles sum to 180°180°

Which side opposite largest angle?

Longest side

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