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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
Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
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.
Double Angle Identities. sin 2 = 2 sin cos. cos 2 = cos2 sin2. cos 2 = 2 cos2 1. cos 2 = 1 2 sin2. tan 2 =.
Periods of the Trig Functions. The period of a function is the number, T, such that f ( +T ) = f ( ) . So, if ! is a xed number and is any angle we have the following periods. 2. sin(! ) ) T = ! 2. cos(! ) ) T = !
The Signs of Trig Functions. Formulas and Identities. sin .
Trigonometric Identities. Six Trigonometric Functions. Right triangle definitions, where. Circular function definitions, where 2. is any. 2 angle. Negative sin (− θθ) =− Angle Identities. cos(− θθ) = tan (− θθ) =−tanθθ csc (− θθ) =−cscθθ sec (− θθ) = Tangent and Cotangent Identities cot (− θθ) =−cotθθ cot θθ = cosθθ. Pythagorean. 2 +.
