C12 - 0.0 - Formula Sheet π¦ = ππ π(π₯ − β) + π Polynomials π¦ = π(π₯ − π§) (π₯ − π) (π₯ − π ) … π πππ = π¦ π = 180 πππ π = π₯ π» ππ ππ = β―β― π π΄ πππ‘π = β―β― π π» π πππ = β―β― π΄ Pythagorean Identities πΉπππ‘ππ = (π₯ − π) π =0 π₯ +π¦ =1 π¦ π‘πππ = β―β― π₯ (πππ π₯, π πππ₯) 2∗ π π = β―β―β― |π| π π ∗ = sin (+ β―β―) π» sin π + cos π = 1 π₯≥π π ππ¦ππ‘βππ‘ππ = π(π) = π₯ − πππ‘ (π, 0) π(π₯) π β―β―β―β―β―= π(π₯) + β―β―β―β―β― π₯−π π₯−π Trigonometry β―β―β―β―β― √π₯ − π Radicals Transformations π ± π∗ π, π ∈ πΌ =π 1 + tan π = sec π 1 + cot π = csc π Reciprocal and Quotient Identities 1 π πππ = β―β―β―β― πππ π 1 ππ ππ = β―β―β―β― π πππ 1 πππ‘π = β―β―β―β―β― π‘πππ π πππ π‘πππ = β―β―β―β― πππ π πππ π πππ‘π = β―β―β―β― π πππ Addition Identities sin(πΌ + π½) = π πππΌ πππ π½ + πππ πΌ π πππ½ cos(πΌ + π½) = πππ πΌ πππ π½ − π πππΌ π πππ½ sin(πΌ − π½) = π πππΌ πππ π½ − πππ πΌπ πππ½ cos(πΌ − π½) = cos πΌ πππ π½ + π πππΌ π πππ½ Double Angle Identities Arc Length/Sector Area ππ ππ π = ππ π΄ = β―β―β― π΄ = β―β―β― 2 2 πππ 2π = cos π − sin π = 2 cos π − 1 = 1 − 2 sin π π ππ2π = 2π ππππππ π π‘πππΌ + π‘πππ½ tan(πΌ + π½) = β―β―β―β―β―β―β―β―β―β―β―β―β― 1 − π‘πππΌ π‘πππ½ Exponentials log π = π π > 0, π > 0, π ≠ 1 Rationals ππ΄ ≠ 0 πππ π π=π π π¦ = β―β―β―+ π»π΄ ππ΄ Combinatorics π πΉ = π 1 ± β―β― π πΉ = π(1 ± π) Logarithms 2 tan π tan 2π = β―β―β―β―β―β―β―β―β― 1 − tan π π‘πππΌ − π‘πππ½ tan(πΌ − π½) = β―β―β―β―β―β―β―β―β―β―β―β―β― 1 + π‘πππΌ π‘πππ½ ππ₯ π¦ = β―β―β―β― ππ₯ π! π = β―β―β―β―β―β―β― (π − π)! = πππππ πΉ = π(π)β―β― πΉ = ππ ππππ log π = β―β―β―β―β― πππ π π(π»π΄) (π₯ − πππ‘)(βππππ ) π¦ = β―β―β―β―β―β―β―β―β―β―β―β―β―β―β―β―β―β―β―β― (π»π΄)(ππ΄ π )(βππππ ) π! πΆ = β―β―β―β―β―β―β―β―β― (π π! − π)! πΌ = 10 πππ π + πππ π = πππ ππ π πππ π − πππ π = πππ β―β― π π π¦ = π΄π π¦πππ‘ππ‘π + β―β―β―β―β―β―β― π·ππ£ππ ππ (π + π) π‘ knackacademics.com PreCalc12PC - 604.505.2867 Page 1 = πΆ π π