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Pythagorean identities
Sin²θ + cos²θ = 1
1 + tan²θ = sec²θ
1 + cot²θ = csc²θ
Reciprocal Identities
1/tan = cot
1/sin = csc
1/cos = sec
Quotient ID
tan = sin/cos
cot = cos/sin
Law of sines
SinA/a = SinB/b = SinC/c
AAS, SSA (ambiguous), ASA
Law of cosines
a² = b² + c² - 2(b)(c) cosA
SSA, SAS
Heron’s area
s = a+b+c/2
A = root (s(s-a)(s-b)(s-c)
Sines area
A = ½ (b)(c) sinA
Angular velocity (w)
W = theta / time
Linear velocity (v)
V = rw