The Cosine Rule (Leaving Cert Mathematics): Quizzes

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The Cosine Rule
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When should you use the Cosine Rule to find a side?

When given two sides & included angle

When should you use the Cosine Rule to find an angle?

When all three sides are given

Which formula represents the Cosine Rule for side aa?

a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 - 2bc \cos A

What is an 'included angle'?

The angle between two known sides

Which rule should you try first when solving triangles?

Sine Rule

What does a negative cosine value indicate about an angle?

The angle is between 90° and 180°

What does the Cosine Rule connect in a triangle?

All three sides and one angle

What mode should your calculator be in for degree problems?

Degree mode

In △ABC\triangle ABC with ∣AB∣=6|AB|=6, ∣AC∣=8|AC|=8, ∠BAC=48°\angle BAC=48°, which formula finds ∣BC∣|BC|?

a2=82+62−2(8)(6)cos⁡48°a^2 = 8^2 + 6^2 - 2(8)(6)\cos 48°

How should you present exam solutions using Cosine Rule?

Show working, substitute values step-by-step

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