The sine rule (AQA GCSE Further Maths): Quizzes

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The sine rule
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What type of triangles can the sine rule be applied to?

Any triangle

In standard triangle notation, where is side aa located?

Opposite vertex AA

Which form is best for finding an unknown angle?

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

Which form is best for finding an unknown side length?

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

The sine rule is useful when you have two angles and one side. What is this case called?

AAS or ASA

For right-angled triangles, what is often simpler than using the sine rule?

SOH CAH TOA and Pythagoras' theorem

What is the ambiguous case in the sine rule?

Two possible angle solutions exist

If the calculator gives angle P=65°P = 65°, what is the second possible solution?

115°115°

How should you verify both solutions in the ambiguous case are valid?

Check angles sum to 180°180°

When should you round your answer during sine rule calculations?

Only round the final answer

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