MATH 1132Q Lecture 1: MATH 1132Q , Lecture 1 , Intro / 7.2
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Sin^2x = ( 1 - cos(2x) ) / 2. Cos^2x = ( 1 + cos(2x) ) /2. Sin 2x = 2 sin x cos x. Cos 2x = cos^2 x - sin^2 x = 2 cos^2 x - 1 = 1 - 2 sin^2 x. Tan 2x = (2 tan x / 1 - tan^2 x) Sin( /2 - x ) = cosx. Cos( /2 - x ) = sinx. Tan( /2 - x ) = cotx. Math 1132q , lecture 1 , intro / 7. 2. Sin (x + y) = (sin x * cos y) + (cos x * sin y) Sin (x - y) = (sin x * cos y) - (cos x * sin y) Cos (x + y) = (cos x * cos y) + (sin x * sin y) Cos (x - y) = (cos x * cos y) - (sin x * sin y)