3.1

• periodic relationship- output values repeat a pattern in regular intervals

  • will be clearly visible when observed graphically

• amplitude - how far it is from the midline (y-values)

• cycle = period - one complete interval

  • functions can have multiple periods

  MORE PROPERTIES - these will remain consistent throughout the periods

• concavity

• increasing/ decreasing

• rate of change

3.2

• angle - represented by 2 rays on a graph

• vertex - where the 2 rays meet

• initial ray/ side = x-axis

• terminal side = hypotenuse

RADIANS- measurement of an angle in standard position with a circle or arc

• arc length = radius length

• unit circle has a radius of 1

SIN - opposite/ hypotenuse

COS- adjacent/ hypotenuse

TAN- slope= y/x= opposite/ adjacent

(cosine, sine) = (x, y)

3.3

• understand the unit circle

  • origin = (0,0)

  • radius = 1

  • 180 degrees = pi

  • pi/3 = 60-degree triangle

  • pi/4 = 45-degree triangle

  • pi/6 = 30-degree triangle

• use SOH CAH TOA to find sin, cos, tan

• remember to think about positive and negative coordinates depending on the quadrant