The Sine Rule (HSC SSCE Mathematics Standard): Flashcards

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The Sine Rule
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Type of triangles the sine rule works for

Non-right-angled triangles

Side naming convention in a triangle

Each side named by lowercase letter of opposite angle

Sine rule formula for finding a side

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

Sine rule formula for finding an angle

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

Conditions needed to use the sine rule

2 sides + opposite angle OR 2 angles + 1 side

What to check before applying sine rule

Sides and angles are opposite each other

Which sine rule form for finding sides

Side divided by sine of angle (fractions)

Which sine rule form for finding angles

Sine of angle divided by side (reciprocals)

Calculator mode for sine rule calculations

Degree mode

How to find angle after calculating sin⁡θ\sin \theta

Use inverse sine

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