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Symbolab Trigonometry Cheat Sheet Basic Identities: (tan )=sin(𝑥) cos(𝑥) (tan )= 1 cot(𝑥) (cot )= 1 tan(𝑥)) cot( )=cos(𝑥) sin(𝑥) sec( )= 1 cos(𝑥) csc( = 1 sin(𝑥) Pythagorean Identities (cos 2 )+sin( )=1 2sec( )−tan2( )=1 2csc( )−cot2( )=1 Double Angle Identities
Pythagorean identities. Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.
Function Ranges. y = \sin (x) -1\le y\le 1. y = \cos (x) -1\le y\le 1. y = \tan (x) -\infty < y <\infty. y = \cot (x) -\infty < y <\infty. y = \csc (x) -\infty < y\le -1\:\bigcup \:1\le y < \infty. y = \sec (y) -\infty < y\le -1\:\bigcup \:1\le y < \infty.
This free Trigonometry cheatsheet has a master list of common definitions, symbols, formulas, and notes, all in one place. Easily learn important topics with practice problems and flashcards, export your terms to pdf, and more.
Double Angle Identities. sin 2 = 2 sin cos. cos 2 = cos2 sin2. cos 2 = 2 cos2 1. cos 2 = 1 2 sin2. 2 tan. tan 2 =. tan2.
2) Sin2X+ SinX=O [0, 21T) Double Angle Identity Factor Solve 2SinXCosX + SinX = O SinX(2CosX + 1) = O (Plug answers into original equation) Sin2(2 ) + sin( ) Sin2(4T) + SinX = O 2Cosx + cosx -
Basic Identities. The functions cos(θ) and sin(θ) are defined to be the x and y coordinates of the point at an angle of θ on the unit circle. Therefore, sin(−θ) = − sin(θ), cos(−θ) = cos(θ), and sin2(θ) + cos2(θ) = 1. The other trigonometric functions are defined in terms of sine and cosine: tan(θ) = sin(θ)/ cos(θ) cot(θ ...
