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Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM
This study sheet has ten groups of trig identities for the basic trigonometry functions. These identities include the reciprocal and co-function relationships between trig functions. There are also half-angle and double angle identities, along with sum and product relationships.
Master trigonometry with Trig Identities Cheat Sheet for solving trigonometric proofs. Simplify complex expressions, apply essential identities, and tackle.
Reciprocal Identities: These identities define the relationships between each trigonometric function and its reciprocal. cscθ = 1/sinθ. secθ = 1/cosθ. cotθ = 1/tanθ. Quotient Identities: These identities show that tangent and cotangent are ratios of sine and cosine. tanθ = sinθ/cosθ. cotθ = cosθ/sinθ.
Triple-Angle Identities. \sin (3x)=-\sin^3 (x)+3\cos^2 (x)\sin (x) \sin (3x)=-4\sin^3 (x)+3\sin (x) \cos (3x)=\cos^3 (x)-3\sin^2 (x)\cos (x) \cos (3x)=4\cos^3 (x)-3\cos (x) \tan (3x)=\frac {3\tan (x)-\tan^3 (x)} {1-3\tan^2 (x)} \cot (3x)=\frac {3\cot (x)-\cot^3 (x)} {1-3\cot^2 (x)}
I created this free printable trig identities cheat sheet for my Pre-Calculus students to reference as we work through our unit on trigonometric identities.
Trig Cheat Sheet. Formulas and Identities. Definition of the Trig Functions. Right triangle definition. For this definition we assume that. 0 < θ < π or 0 ° < θ < 90 ° . 2. hypotenuse opposite. θ. adjacent. Unit circle definition. For this definition θ is any angle. y. ( x , y ) y 1. θ. opposite. sin θ = hypotenuse adjacent cos θ = hypotenuse.
Trig Cheat Sheet. Definition of the Trig Functions. Right triangle definition. For this definition we assume that. < q. p. 0 < or 0 ° < q < 90 ° . 2. hypotenuse opposite. q. adjacent. Unit circle definition. For this definition q is any angle. y. ( x , y ) q x. opposite. sin q = hypotenuse. q = adjacent. cos hypotenuse. q opposite. tan = adjacent.
Basic Identities: tan(. tan(. cot(. sin( ) ) =. cos( ) ) = cot( ) ) = tan( )
Quotient Identities. tan = cos cos. cot = sin.