The Sine Rule (VCE SSCE General Mathematics): Quizzes

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The Sine Rule
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What type of triangles is the sine rule used for?

Non-right-angled triangles

In standard triangle notation, which angle is side aa opposite to?

Angle AA

When should you use the sine rule?

Two angles and one side

What is the sine rule formula?

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

If A=100°A = 100°, C=50°C = 50°, and b=8b = 8, what must you find before using sine rule to get cc?

Angle BB

Using csinC=bsinB\frac{c}{\sin C} = \frac{b}{\sin B} with b=8b=8, B=30°B=30°, C=50°C=50°, what is cc?

8×sin50°sin30°\frac{8 \times \sin 50°}{\sin 30°}

When does the ambiguous case occur?

Two sides, angle not between them

What is the sum of all angles in any triangle?

180°180°

In any triangle, the longest side is opposite which angle?

The largest angle

Which form of sine rule is more convenient when finding angles?

sinAa=sinBb=sinCc\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

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