Sine and Cosine rules (OCR GCSE Maths): Quizzes

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Sine and Cosine Rules
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What type of triangles can the Sine and Cosine Rules be applied to?

Any triangle

When should you use the Sine Rule? (Select the correct condition)

Two angles and one side (AAS or ASA)

What is the formula for the Sine Rule?

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

To find an unknown side using the Sine Rule, what information do you need?

Two angles and the length of a side

To find an unknown angle using the Sine Rule, what information is needed?

Two sides and angle not included

When should you use the Cosine Rule?

Three sides (SSS) or SAS

What is the Cosine Rule formula for finding an unknown side?

a2=b2+c22bccosAa^2=b^2+c^2-2bc\cos A

What does 'included angle' mean?

The angle between two sides

To find an unknown angle using Cosine Rule, what information must you have?

All three side lengths

Which inverse function do you use to find an angle from a sine value?

sin1\sin^{-1}

Which inverse function finds an angle from a cosine value?

cos1\cos^{-1}

You know two sides and the included angle. Which rule should you use?

Cosine Rule

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