Sine Rule (Leaving Cert Mathematics): Flashcards

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Sine Rule
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What types of triangles do Sine & Cosine Rules apply to?

Any triangle (not just right-angled)

Sine Rule use case 1: angles & sides known

Two angles and one side (AASAAS or ASAASA)

Sine Rule use case 2: sides & angle known

Two sides and non-included angle (SSASSA)

Sine Rule formula

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

What aa, bb, cc represent in Sine Rule

Lengths of the sides of the triangle

What AA, BB, CC represent in Sine Rule

Angles opposite sides aa, bb, cc

Info needed to find unknown side using Sine Rule

Two angles and the length of a side

Info needed to find unknown angle using Sine Rule

Two side lengths and angle not included

Sine Rule rearranged for finding angles

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

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