q2

    Cards (29)

    • 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
    • defined as the customary beliefs, social forms, and traits that defines a specific racial, religious or social group
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