1. _________ Calculate sin2(θ)+cos2(θ) for θ = 42°.
  2. _________ For a tennis ball hit at a velocity v = 19.6 m/s and at an angle θ of 30°, calculate the distance d the ball will travel based on the following formula:

    d= 2v2cos(θ)sin(θ) 9.8

    Note that θ is in degrees. Check your Desmos settings.

    For the following, set Desmos to radians

  3. Determine the solutions for sin(x)=32 for the interval {0 ≤ x ≤ 2π}.

  4. Determine the solutions for sin(x) + sin(3x) 3 = 23 for the interval {0 ≤ x ≤ 2π}.

  5. Determine the solutions for cos(x)=4 for the interval {0 ≤ x ≤ 2π}.

  6. Determine the solutions for tan2(x) +4tan(x) = -4 for the interval {0 ≤ x ≤ 2π}.

  7. Determine the solutions for sin(x)+1 = -sin(x)-1 for the interval {0 ≤ x ≤ 2π}.

  8. Toughie: Determine the solutions for x for the following equations:

    x2+y2=π2
    and
    y=sin(x)

    with the sine function limited to the interval {-π ≤ x ≤ π}.


Sinusoidal road