Sine and Cosine Rules (HSC SSCE Mathematics Advanced): Flashcards

$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$

Two angles + one side OR two sides + non-included angle

$A = \frac{1}{2}ab \sin C$

SSA config gives two possible angles (acute & obtuse)

$\sin(180° - \theta) = \sin \theta$

$b \sin A \leq a < b$

$c^2 = a^2 + b^2 - 2ab \cos C$

$\cos C = \frac{a^2 + b^2 - c^2}{2ab}$

Two sides + included angle (SAS) OR three sides (SSS)

No ambiguous case