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:
   
   $d=\frac{2v^{2}cos\left(\theta \right)sin\left(\theta \right)}{9.8}$
   
   Note that θ is in degrees. Check your Desmos settings.
   
   For the following, set Desmos to radians
   
   
3. Determine the solutions for $sin\left(x\right)=\frac{\sqrt{3}}{2}$ for the interval {0 ≤ x ≤ 2π}.
   
   
4. Determine the solutions for $sin\left(x\right)+\frac{sin\left(3x\right)}{3}=\frac{2}{3}$ for the interval {0 ≤ x ≤ 2π}.
   
   
5. Determine the solutions for $cos\left(x\right)=4$ for the interval {0 ≤ x ≤ 2π}.
   
   
6. Determine the solutions for ${tan}^2\left(x\right)+4tan\left(x\right)=-4$ for the interval {0 ≤ x ≤ 2π}.
   
   
7. Determine the solutions for $sin\left(x\right)+1=-sin\left(x\right)-1$ for the interval {0 ≤ x ≤ 2π}.
   
   
8. Toughie: Determine the solutions for x for the following equations:
   
   $x^2+y^2={\pi }^2$
   and
   $y=sin\left(x\right)$
   
   with the sine function limited to the interval {-π ≤ x ≤ π}.