Chapter 6 Review.Per3.Nov2011

# Chapter 6 Review.Per3.Nov2011 - Chapter 6 By Jenn Dennis...

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Unformatted text preview: Chapter 6 By: Jenn, Dennis, Tammy, Samer & Haley Review 6.1- Radians Radians is another way of measuring the size of an angle using real #s w/o any units ∂ = arc length/radius = r/r =1 (where 1 radian is 57.3 degrees) Principal angle- counter-clockwise angle b/w the initial arm and the terminal arm Related Acute Angle- the angle b/w the terminal arm that lies in Q2, Q3, Q4 To convert from degrees to radians: Multiply by ∏ over 180 degrees To convert from radians to degrees: Multiply by 180 degrees over ∏ Angular Velocity- is found by using the formula, Velocity= displacement ( angle rotated in degrees ) divided by time ( which is often in sec/min ) V=d/t 6.2- Angles Special triangles can be expressed in radians or degrees Trig ratios for any principal angle in standard position can be determined by find--ing related acute angle Pythagorean theorem , r 2 = x 2 + y 2 , if r>0 , can be used to find the missing variables Sin ∂ = y/r , Cos ∂ = x/r , Tan ∂ = y/x scs ∂ = r/y , Sec ∂ = r/x , Tan ∂ = x/y Cast rule- 6.3- trig. Graphs y=sin ∂ :- Period= 2 ∏ - EOA= (y=0)- Amp= 1 - Max= 1- Min= -1 y=cos ∂ :- Period= 2 ∏ - EOA= (y=0)- Amp= 1 - Max= 1- Min= -1 y=tan ∂ :- Period= ∏ - EOA= (y=0)- Amp= undefined- No max nor min- VA: ∂= + ∏/2, + 3∏/2, + 5∏/2.... 6.4- Transformations f(x)= a sin ( k (x- d ))+ c f(x)= a cos ( k (x- d ))+ c f(x)= a tan ( k (x- d ))+ c ( IaI ) is the v. stretch ( aka the amp ) ( 1/K ) is the h. stretch ( find period by plugging in 2 ∏ /k ) ( d ) is the h. shift ( aka “phrase shift” ) ( c ) is the v. shift ( aka the EOA ) Max value- (c + IaI) Min Value- (c – IaI) 6.6-6....
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Chapter 6 Review.Per3.Nov2011 - Chapter 6 By Jenn Dennis...

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