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  1. Title: Trig_Cheat_Sheet Author: ptdaw Created Date: 11/2/2022 7:09:02 AM

  2. Double Angle and Half Angle Formulas 26. sin(2 ) = 2 sin cos 27. cos(2 ) = cos2 sin2 28. tan(2 ) = 2 tan 1 2tan 29. sin 2 = r 1 cos 2 30. cos 2 = r 1+cos 2 31. tan 2 = 1 cos sin = sin 1 cos 32. tan 2 = r 1+cos 1 cos Other Useful Trig Formulas Law of sines 33. sin = sin = sin Law of cosines 34. a2 = b2 +c2 2 b c cos b2 = a2 +c2 2 a c cos c2 = a2 ...

  3. Sum-To-Product Formulas. sin(x) + sin(y) = 2 sin x + y 2. cos(x)+cos(y) = 2 cos x + y 2. cos. cos. y. 2. y. 2.

  4. Period. The period of a function is the number, T, such that f ( q + T ) = f ( q ) . So, if w is a fixed number and q is any angle we have the following periods. sin ( wq )

  5. 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)

  6. 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.

  7. Trig Cheat Sheet. Definition of the Trig Functions. Right triangle definition. For this definition we assume that π. 0 < θ < or 0 ° < θ < 90 ° . 2. hypotenuse opposite. θ. adjacent. Unit circle definition. For this definition θ is any angle. y. ( x , y ) 1. y θ. x. opposite. sin θ = hypotenuse. θ = adjacent. cos hypotenuse opposite tan θ = adjacent

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