Some Formulas
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Some Formulas • A = P ert r nt • A=P 1+ n • sin2 θ + cos2 θ = 1 • tan2 θ + 1 = sec2 θ π • sin θ = cos θ − 2 • sin(−θ) = − sin θ, cos(−θ) = cos θ, tan(−θ) = − tan θ • sin(α ± β) = sin α cos β ± cos α sin β • cos(α ± β) = cos α cos β ∓ sin α sin β π • cos − θ = sin θ 2 π • sin − θ = cos θ 2 • tan(α + β) = sin(α + β) tan α + tan β = cos(α + β) 1 − tan α tan β • tan(α − β) = sin(α − β) tan α − tan β = cos(α − β) 1 + tan α tan β r 1 − cos θ θ =± 2 2 r θ 1 + cos θ • cos = ± 2 2 • sin • tan sin θ2 θ 1 − cos θ sin θ = = = θ 2 sin θ 1 + cos θ cos 2 • sin(2θ) = 2 sin θ cos θ • cos(2θ) = cos2 θ − sin2 θ = 2 cos2 θ − 1 = 1 − 2 sin2 θ • tan(2θ) = sin(2θ) 2 tan θ = cos(2θ) 1 − tan2 θ 1 • sin B sin C sin A = = a b c • c2 = a2 + b2 − 2ab cos C • K = 21 ab sin C p • K = s(s − a)(s − b)(s − c) with s = 12 (a + b + c) • cos θ = u·v ||u||||v|| 2
