The Sine Rule (Leaving Cert Mathematics): Flashcards

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The Sine Rule
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Types of triangles Sine Rule works for

Any triangle (not just right-angled)

Sine Rule formula (sides on top)

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

Sine Rule formula (sines on top)

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

Info needed to use Sine Rule

One side-angle pair + one other side or angle

Finding a side: where to put sides?

On top of fractions

Finding an angle: where to put angles?

On top of fractions

Function to find angle from sine

Inverse sine (sin⁡−1\sin^{-1})

Calculator mode needed for angles

Degree mode

Sine Rule word form relationship

Side to sine of opposite angle ratio is constant

Sum of angles in any triangle

180°180°

Area formula: two sides, included angle

12absin⁡C\frac{1}{2}ab\sin C

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