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Flashcards covering key trigonometric ratios and identities for compound angles.
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sin(A+B)
sinA cosB + cosA sinB.
sin(A-B)
sinA cosB - cosA sinB.
cos(A+B)
cosA cosB - sinA sinB.
cos(A-B)
cosA cosB + sinA sinB.
tan(A+B)
(tanA + tanB) / (1 - tanA tanB).
tan(A-B)
(tanA - tanB) / (1 + tanA tanB).
cot(A+B)
(cotA + cotB) / (1 - cotA cotB).
cot(A-B)
(cotA cotB +1) / (cotB - cotA).
sin(A+B+C)
sinA cosB cosC + cosA sinB cosC + cosA cosB sinC.
cos(A+B+C)
cosA cosB cosC - sinA sinB cosC - sinA cosB sinC - cosA sinB sinC.
Identity for sin(A+B) sin(A-B)
sin²A - sin²B = cos²B - cos²A.
Identity for cos(A+B) cos(A-B)
cos² A - sin²B = cos² B - sin² A.