The Sine Rule (HSC SSCE Mathematics Standard): Quizzes

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The Sine Rule
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What type of triangles can the sine rule be applied to?

Non-right-angled triangles

In triangle naming convention, which side is opposite angle AA?

Side aa

Which form of the sine rule should you use to find an unknown side?

asin⁡A=bsin⁡B\frac{a}{\sin A} = \frac{b}{\sin B}

Which form of the sine rule should you use to find an unknown angle?

sin⁡Aa=sin⁡Bb\frac{\sin A}{a} = \frac{\sin B}{b}

When can you use the sine rule in a non-right-angled triangle?

Two angles and one side

What must you check before applying the sine rule?

Sides & angles are opposite each other

Using xsin⁡50°=4.1sin⁡37°\frac{x}{\sin 50°} = \frac{4.1}{\sin 37°}, what is xx to 1 d.p.?

5.25.2

What calculator mode must you use when applying the sine rule?

Degree mode

When finding an unknown angle using the sine rule, what must you use?

Inverse sine

In the derivation, what equals both asin⁡Ba \sin B and bsin⁡Ab \sin A?

hh

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