[PHSC 112] - Final Exam Guide - Comprehensive Notes for the exam (61 pages long!)
29 Nov 2016
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Document Summary
Une lecture efficace du cercle trigonom trique permet de retrouver les relations suivantes : cos sin p(cid:230) (cid:246)+(cid:231) (cid:247) x. X cos sin p(cid:230) (cid:246)-(cid:231) (cid:247) x. = cos(x) cos(p x) = cos(x) sin(p x) = sin(x) cos(p + x) = cos(x) sin(p + x) = sin(x) p x p+x. Formules de duplication tan( ) tan( ) a b. 1 tan( ) tan( ) b a tan(a + b) = tan( ) tan( ) a b. 1 tan( ) tan( ) b a cos(2a) = cos2(a) sin2(a) = 2 cos2(a) - 1 = 1 - 2 sin2(a) sin(2a) = 2 sin(a) cos(a) tan(2a) = Extensions : cos(3a) = 4cos3(a) - 3cos(a) sin(3a) = 3sin(a) - 4sin3(a) tan(3a) = a. Extensions : cos3(a) = cos( 3 ) a. 1 cos(2 ) a sin(3 ) a tan3(a) = Les formules d"euler permettent galement de montrer que : cos(a) cos(b) = 1 [cos(a - b) + cos(a + b)] cos(a) sin(b) =
