Identities Sin3x

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Basic and Pythagorean Iden.ies. You can see the Pythagorean-Thereom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin t = y, the "adjacent" side is cos t = x, and the hypotenuse is 1..X and y are independent variables,; d is the differential operator,; int is the integration operator,; C is the constant of integration. Iden.ies. tan x = sin x/cos x .Cofunction Iden.ies, degrees. sin 90 - x = cos x. cos 90 - x = sin x. tan 90 - x = cot x, cot 90 - x = tan x. sec 90 - x = csc x, csc 90 - x = sec x .USEFUL TR.NOMETRIC IDEN.IES. Definitions tanx = sinx cosx secx = 1 cosx cosecx = 1 sinx cotx = 1 tanx. Fundamental trig iden.y. cosx . 2. + sinx . 2..

Note that the three iden.ies above all involve squaring and the number 1. You can see the Pythagorean-Thereom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin t = y, the "adjacent" side is cos t = x, and the hypotenuse is 1..Trig Iden.ies. Iden.ies involving trig functions are listed below. Pythagorean Iden.ies. sin 2 + cos 2 = 1. tan 2 + 1 = sec 2 . cot 2 + 1 = csc 2 . Reciprocal Iden.ies. Ratio Iden.ies . Odd/Even Iden.ies. sin -x = -sin x..Tan x y = tan x tan y / 1 tan x tan y . sin 2x = 2 sin x cos x. cos 2x = cos 2 x - sin 2 x = x - 1 = 1 - x . tan 2x = 2 tan x / 1 .

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