cos ↵ = sin csc ↵ = sec cot ↵ = tan ↵ & complimentary. r ↵ 1 cos ↵ sin = ± ⇥ 2 2 r ↵ 1 + cos ↵ cos = ± 2 2 sin2 ✓ + cos2 ✓ = 1 sin( ✓) = sin ✓ cos( ✓) = cos ✓ tan2 ✓ + 1 = sec2 ✓ tan( ✓) = tan ✓ 1 + cot2 ✓ = csc2 ✓ 2 = T c 2 = a 2 + b2 a 2 = b2 + c 2 b2 = a 2 + c 2 sin sin ⇥ = a b 2ab cos 2bc cos 2ac cos sin ⇤ = c sin(↵ + ) = sin ↵ cos + cos ↵ sin sin 2✓ = 2 sin ✓ cos ✓ sin(↵ ) = sin ↵ cos cos ↵ sin cos 2✓ = cos2 ✓ sin2 ✓ cos(↵ + ) = cos ↵ cos sin ↵ sin cos 2✓ = 1 2 sin2 ✓ cos(↵ ) = cos ↵ cos + sin ↵ sin cos 2✓ = 2 cos2 ✓ 1 p 1 2 v·w A = S(S a)(S b)(S c) A= r cos = 2 v w 1 A = ab sin s=r 2