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..Various iden.ies and properties essential in tr.nometry. Legend. 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, equation 1. cot x = cos x/sin x, equation 2. sec x = 1/cos x, equation 3. csc x = 1/sin x, equation 4..Cofunction Iden.ies, radians 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 .Cosine: cos 2x = cos2 x  sin2 x. = 1  2 sin2 x. = 2 cos2 x  1. Tangent: tan 2x = 2 tan x/1 tan2 x. = 2 cot x/ cot2 x 1. = 2/cot x  tan x tangent doubleangle iden.y can be accomplished by applying the same methods, instead use the sum iden.y for tangent, first. Note: sin 2x 2 sin x; cos 2x 2 cos x; tan 2x 2 tan x..
Cos 2x = cos2 x  sin2 x = 2 cos2 x  1 = 1  2 sin2 x tan 2x = 2 tan x / 1  tan2 x sin2 x = 1/2  1/2 cos 2x cos2 x = 1/2 + 1/2 cos 2x sin x  sin y = 2 sin x  y /2 cos x + y /2 cos x  cos y = 2 sin xy /2 sin x + y /2 .Tan x =1cot x =sin x cos x an x = \dfrac{1}{\cot x } = \dfrac{\sin x }{\cos x }tan x =cot x 1=cos x sin x . Notice how a "co something " trig ratio is always the reciprocal of some "nonco" ratio. You can use this fact to help you keep straight that cosecant goes with sine and secant goes with cosine..Trig Iden.ies. Iden.ies involving x + 180 = tan x. cot x + 180 = cot x . Sum/Difference Iden.ies . Double Angle Iden.ies . Half Angle Iden.ies .These iden.ies are useful whenever expressions involving tr.nometric functions need to be simplified. An important application is the integration of nontr.nometric functions: a common technique involves first using the subs.ution rule with a tr.nometric function, and then simplifying the resulting integral with a tr.nometric iden.y..
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Tr Nometric Iden Ies Math2 Org
Sin 2x = 2 sin x cos x. cos 2x = cos2 x  sin2 x = 2 cos2 x  1 = 1  2 sin2 x tan 2x = 2 tan x / 1  tan2 x sin2 x = 1/2  1/2 cos 2x cos2 x = 1/2 + 1/2 cos 2x sin x  sin y = 2 sin x  y /2 cos x + y /2 .

Tr Nometric Iden Ies Purplemath
Tan x =1cot x =sin x cos x an x = \dfrac{1}{\cot x } = \dfrac{\sin x }{\cos x }tan x =cot x 1=cos x sin x . Notice how a "co something " trig ratio is always the reciprocal of some "nonco" ratio. You can use this fact to help you keep straight that cosecant goes with sine and secant goes with cosine..

Mathwords Trig Iden Ies
Trig Iden.ies. Iden.ies involving x + 180 = tan x. cot x + 180 = cot x . Sum/Difference Iden.ies . Double Angle Iden.ies . Half Angle Iden.ies .

List Of Tr Nometric Iden Ies Wikipedia
These iden.ies are useful whenever expressions involving tr.nometric functions need to be simplified. An important application is the integration of nontr.nometric functions: a common technique involves first using the subs.ution rule with a tr.nometric function, and then simplifying the resulting integral with a tr.nometric iden.y..