Basic and Pythagorean Iden.ies. You can see the PythagoreanThereom 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 PythagoreanThereom 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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