Trigonometry

Trigonometry

1. Functions

   • Graphs
     • y=SinX
     • y=CosX
     • y=TanX
     • Piecewise
     • Reflection about x-axis -f(x) and y-axis f(-x)
   • af(b(x-c))+d form
     • a= amplitude
       • b= #waves in an interval length
       • c= horizontal shift
       • d= vertical shift
     • aSin(b(x-c))+d
     • aCos(b(x-c))+d
     • aTan(b(x-c))+d
     • Calculation of values
       • Period= 2π/b
         • Amplitude= max + min value in y axis / 2
           • Vertical shifts= +- d
             • HOrizontal shifts= +- c
   • Circular
     • Unit circle
     • Length of an arc
     • Area of a sector

2. Rules

   • Cosine
   • Sine
   • Pythagorean Theorem
     • Trig Identities
       • Tan X= Sin X/ Cos X
       • Double Angle Formulae
   • Area Triangle= abSinC/2
   • Basic Angles
   • Addition Formulae
     • sin(A+B), cos(A+B), sin(A-B), cos(A-B)

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