c? 2012 Math Medics LLC. All rights reserved. TRIGONOMETRIC IDENTITIES ? Reciprocal identities sinu = 1 cscu cosu = 1 secu tanu = 1 cotu cotu = 1 tanu cscu = 1 sinu secu = 1 cosu ? Pythagorean Identities sin2 u+ cos2 u = 1 1 + tan2 u = sec2 u 1 + cot2 u = csc2 u ? Quotient Identities tanu = sinu cosu cotu = cosu sinu ? Co-Function Identities sin( pi 2 ? u) = cosu cos( pi 2 ? u) = sinu tan( pi 2 ? u) = cotu cot( pi 2 ? u) = tanu csc( pi 2 ? u) = secu sec( pi 2 ? u) = cscu ? Parity Identities (Even & Odd) sin(?u) = ? sinu cos(?u) = cosu tan(?u) = ? tanu cot(?u) = ? cotu csc(?u) = ? cscu sec(?u) = secu ? Sum & Difference Formulas sin(u? v) = sinu cos v ? cosu sin v cos(u? v) = cosu cos v ? sinu sin v tan(u? v) = tanu? tan v 1? tanu tan v
Trig Identities
c? 2012 Math Medics LLC. All rights reserved. TRIGONOMETRIC IDENTITIES ? Reciprocal identities sinu = 1 cscu cosu = 1 secu tanu = 1 cotu cotu = 1 tanu cscu = 1 sinu secu = 1 cosu ? Pythagorean Identities sin2 u+ cos2 u = 1 1 + tan2 u = sec2 u 1 + cot2 u = csc2 u ? Quotient Identities tanu = sinu cosu cotu = cosu sinu ? Co-Function Identities sin( pi 2 ? u) = cosu cos( pi 2 ? u) = sinu tan( pi 2 ? u) = cotu cot( pi 2 ? u) = tanu csc( pi 2 ? u) = secu sec( pi 2 ? u) = cscu ? Parity Identities (Even & Odd) sin(?u) = ? sinu cos(?u) = cosu tan(?u) = ? tanu cot(?u) = ? cotu csc(?u) = ? cscu sec(?u) = secu ? Sum & Difference Formulas sin(u? v) = sinu cos v ? cosu sin v cos(u? v) = cosu cos v ? sinu sin v tan(u? v) = tanu? tan v 1? tanu tan v
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