Unit 5 Trig Identities
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Trig Identity Memorization Cards
Last updated 4:37 PM on 3/30/26
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Sum and Difference Identities
cos(A+B) = cosA cosB - sinA sinB
cos(A-B) = cosA cosB + sinA sinB
sin(A+B) = sinA cosB + cosA sinB
sin(A-B) = sinA cosB - cosA sinB
tan(A+B) = tanA + tanB/1 - tanA tanB
tan(A-B) = tanA - tanB/1 + tanA tanB
2
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Double Angle Identities
sin(2A) = 2sin(A)cos(A)
cos(2A) = cos²(A) - sin²(A) = 2cos²(A) - 1 = 1 - 2sin²(A)
tan(2A) = 2tan(A)/1 - tan²(A)
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Half Angle Identities
sin(A/2) = ±√[(1 - cos(A))/2]
cos(A/2) = ±√[(1 + cos(A))/2]
tan(A/2) = ±√[(1 - cos(A))/(1 + cos(A))] or = sin(A)/(1 + cos(A)) or = (1 - cos(A))/sin(A)
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