Cosine Rule (Leaving Cert Mathematics): Quizzes

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Cosine Rule
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What info is needed to find an unknown side using the Cosine Rule?

Two sides & included angle

What info is needed to find an unknown angle using the Cosine Rule?

All three side lengths

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

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

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

cos⁡A=b2+c2−a22bc\cos A=\frac{b^2+c^2-a^2}{2bc}

What does 'included angle' mean in the context of the Cosine Rule?

The angle between two given sides

In the Cosine Rule, what is the relationship between angle AA and side aa?

AA is opposite side aa

Find side xx if b=5.2b=5.2 m, c=4.5c=4.5 m, ∠A=58°\angle A=58°. What is xx (2dp)?

4.744.74 m

Find angle xx if a=9a=9 m, b=11b=11 m, c=12c=12 m. What is xx (2dp)?

72.97°72.97°

When do you use inverse cosine in the Cosine Rule?

To find an angle from its cosine value

You know all three sides of a triangle. Which Cosine Rule formula should you use?

cos⁡A=b2+c2−a22bc\cos A=\frac{b^2+c^2-a^2}{2bc}

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