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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Lists the basic tr.nometric iden.ies, and specifies the set of trig iden.ies to keep track of, as being the most useful ones for calculus..
In mathematics, tr.nometric iden.ies are equalities that involve tr.nometric functions and are true for every value of the occurring variables where both sides of the equality are defined. Geometri.y, these are iden.ies involving certain functions of .
Math2.org Math Tables: Tr.nometric Iden.ies sin theta = a / c. csc cos x - cos y = -2 sin x-y /2 sin x + y /2 Trig Table of Common Angles; angle 0.