The Sine and Cosine Rules (Edexcel GCSE Maths): Quizzes

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The sine and cosine rules
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In triangle labelling convention, which letters are used for sides and angles?

Lowercase for sides, uppercase for angles

Which angle is opposite to side aa in a correctly labelled triangle?

Angle AA

What is the sine rule for triangles?

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

Which cosine rule formula is used for finding a side?

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

Which cosine rule formula is used for finding an angle?

cosA=b2+c2a22bc\cos A = \frac{b^2 + c^2 - a^2}{2bc}

What is the area formula when you know two sides and the angle between them?

Area=12absinC\text{Area} = \frac{1}{2}ab \sin C

Which rule should you use with two angles and any side?

Sine rule

Which rule should you use with two sides and a non-enclosed angle?

Sine rule

Which rule should you use with two sides and the enclosed angle?

Cosine rule

Which rule should you use when you know all three sides but no angles?

Cosine rule

How is the cosine rule related to Pythagoras' theorem?

It's a generalization for all triangles

What should always be the first step in solving triangle problems?

Labelling the triangle correctly

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