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• Unit Circle

  The circle of radius 1 centered at the origin in the Cartesian coordinate system

  
• Central Angle

  An angle whose vertex is on the center of the circle and is formed by two radii

  
• Degree measure

  In a circle, the degree measure of an arc is equal to the measure of the central angle that intercepts the arc

  
• Radian measure

  When the central angle intercepts an arc that has the same length as a radius of the circle, the measure of the angle is defined as radian

  
• Arc length

  The distance between two points on a circle, along the circumference

  
• Sector

  The area that is bounded between the arc and the center point by drawing two radii at the endpoints of the arc to the center
• Arc length and area of a sector

  1. θ = s/r

  2. A = 1/2 r2θ

  
• Converting DMS to degrees

  dd = d + m/60 + s/3600
• Special angles

  • 0
  • 30
  • 45
  • 60
  • 90
• Coterminal angles

  You can find coterminal angles by adding or subtracting 2π or 360

  
• Reference angles

  You can find it by this guide
• sin2(t) + cos2(t) = 1
• tan2(t) + 1 = sec2(t)
• 1 + cot2(t) = csc2(t)
• sin(-t) = -sin(t), csc(-t) = -csc(t)
• cos(-t) = cos(t), sec(-t) = sec(+)
• tan(-t) = -tan(t), cot(-t) = -cot(t)
• The domain of sine and cosine functions is the set of all real numbers
• The domain of tangent and secant functions is the set of all real numbers, except odd integer multiples of π/2 = 90°
• The domain of cotangent and cosecant functions is the set of all real numbers, except integer multiples of π = 180°
• Sine and cosine have range [-1, 1]
• The range of cosecant and secant is (-∞, -1] ∪ [1, ∞)
• The range of tangent and cotangent functions is the set of all real numbers
• Amplitude

  The height from the center line to the peak (or to the trough), or the height from highest to lowest points divided by 2
• Period

  The distance from one peak to the next (or from any point to the next matching point)
• Phase Shift

  How far the function is shifted horizontally from the usual position
• Vertical Shift

  How far the function is shifted vertically from the usual position
• General equation for circular functions

  y = A sin (B (x + C)) + D

  
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