Pythagorean Theorem:
\[ c^2 = a^2 + b^2 \] Pythagorean Relations:
\[ \sin^2 \theta + \cos^2 \theta = 1 \] \[ \sec^2 \theta – \tan^2 \theta = 1 \] \[ \csc^2 \theta – \cot^2 \theta = 1 \] Sine Law:
\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \] Cosine Law:
\[ c^2 = a^2 + b^2 – 2ab \cos \theta \]
\[ c^2 = a^2 + b^2 \] Pythagorean Relations:
\[ \sin^2 \theta + \cos^2 \theta = 1 \] \[ \sec^2 \theta – \tan^2 \theta = 1 \] \[ \csc^2 \theta – \cot^2 \theta = 1 \] Sine Law:
\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \] Cosine Law:
\[ c^2 = a^2 + b^2 – 2ab \cos \theta \]
