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# chapter 10 trig

### Chapter ten trig cards

SOH Sin = Opposite Over Hypotenuse
CAH Cos = Adjacent Over Hypotenuse
TOA Tan = Opposite Over Adjacent
Complements Theorem for all Theta between 0 and 90 degrees Sin of theta = Cos (90 - theta) and Cos Theta (90 - Theta)
Theorem ( Pythagrean Identity) For all theta between 0 and 90, (cos of theta)Squared + (sin of theta) squared = 1
Sin 30 sin 30 = cos 60= 1/2
law of cos c squared = a squared + b squared - 2ab * cos C
Law of Sines sin A/a = sin B/b = sin C/c
Define a sine wave a graph wich can be mapped onto the graph of g(theta) = sin Theta by any composite of translations, scale changes, or reflections.
supplements theroem for all theta in degrees, sin theta = sin (180 - theta)
Define angle of elevation the angle between the horizontal and the observers line of sight.
Define angle of depression same as angle of elevation but all oppostie
Sin 45 sin 45 = cos 45 = (squareroot2)/2
Sin 60 sin 60 = cos 30 = (squareroot3)/2
What is a unit circle a circle with center at the origin and radius 1 unit