Chapter 13

Chapter 13

1. Section 1

   • "Sohcahtoa"
     • Sine(θ)=Opp/hyp
     • Cosine(θ)=Adj/hyp
     • Tangent(θ)=Opp/Adj
   • Cosecant(θ)=hyp/opp
   • Secant(θ)=hyp/adj
   • Cotangent(θ)=adj/opp
   • A^2+B^2=C^2

2. Section 2

   • Angles can have many notations even negative
   • Angles can be written in degrees or radians
     • degree to radians
       • (π*radians)/180°
     • Radians to degrees
       • 180°/π*radians
   • Parts of Circle
     • Arc length
       • 2πr*(θ)/360
     • Area of a sector
       • πr^2*(θ)/360

3. Section 3

   • (θ) and it's six trig functions
     • Sin(θ)=y/r
     • Cos(θ)=x/r
     • Tan(θ)=y/x
     • Csc(θ)=r/y
     • Sec(θ)=r/x
     • Cot(θ)=x/y
   • Quadrantal angle
     • (0)°
       • x=r
       • y=0
     • 90°
       • x=0
       • y=r
     • 180°
       • x=-r
       • y=0
     • 270°
       • x=0
       • y=-r
   • Reference Angle
     • any angle where the remainder of itself creates an easier or known triangle
       • 150°
         • 30°
       • 120°
         • 60°
       • 135°
         • 45°
       • Quadrantal angles
   • Evaluating trig functions
     • Quadrant 1
       • sin, csc:+
       • cos, sec: +
       • tan, cot: +
     • Quadrant 2
       • sin, csc: +
       • cos, sec, -
       • tan, cot:-
     • Quadrant 3
       • sin, csc: -
       • cos, sec: -
       • tan, cot: +
     • Quadrant 4
       • sin, csc: -
       • cos, sec: +
       • tan, cot: -
   • Projectile Distance
     • d=(v^2/32)sin(2θ)

4. Section 4

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