1. With Desmos set to radians, use Desmos to graph two full periods of f(x)=5sin (πx3)
    1. _________ State the amplitude.
    2. _________ Calculate the period.
    3. _________ State the midline.
  2. For the following graph:
    sine wave
    1. _________ State the amplitude.
    2. _________ Determine the period.
    3. _________ State the midline.
    4. Write the equation the function:
  3. For f(x) = sin(x) on the interval from zero to 2π, find the x values where f(x)=32 . Desmos should be set in radians.
  4. The graph depicts three trigonometric functions. One as a solid line, one as a dashed line, and one as a dotted line. Desmos is set in radians. Match the function to the line on the graph.
    Trig functions graphed in Desmos.
    1. f(x)=tan(x):
    2. f(x)=sec(x):
    3. f(x)=-cos(x):
  5. Calculate the values of θ = ______________° and φ = ______________° in degrees based on the following diagrams.
    Right triangles θ 157 85 φ 84 116
  6. θ = __________° In the movie Blade Runner 2049 a guy-wire holds up a dead tree. Use the information in the diagram to calculate the angle θ in degrees. Note that the horizontal value is 18, the vertical value is 12 in the diagram.
    Blade Runner 2049 dead tree Blade Runner 2049 dead tree θ 12 18