The Cosine Rule (HSC SSCE Mathematics Standard): Quizzes

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The Cosine Rule
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What types of triangles can the cosine rule be applied to?

Any triangle

When should you use the cosine rule to find a third side?

When you know two sides & included angle

When should you use the cosine rule to find an angle?

When you know all three sides

In a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 - 2bc \cos A, what relationship exists between side aa and angle AA?

Side aa is opposite angle AA

How does the cosine rule relate to Pythagoras' theorem?

It's Pythagoras with a correction term

Using c2=a2+b2−2abcos⁡Cc^2 = a^2 + b^2 - 2ab \cos C with a=12a=12, b=6b=6, C=76°C=76°, what is c2c^2 (nearest integer)?

145

If cos⁡θ=122+112−822×12×11\cos \theta = \frac{12^2 + 11^2 - 8^2}{2 \times 12 \times 11}, what is cos⁡θ\cos \theta (3 d.p.)?

0.761

What mode should your calculator be in when working with angles in degrees?

Degree mode

Which function finds the angle from a cosine value?

cos⁡−1\cos^{-1} or arccos

To convert 0.682°0.682° to minutes, what should you do?

Multiply 0.682 by 60

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