Complete the unit circle below. 50 points 0 Plot each angle on the unit circle below. You will need to draw additional radius segments 0 O, 30. 45. 60, 90, 120. 135, 150, 180, 210, 225, 240. 270, 300. 315. 330 Determine the radian measure for each angle. Be sure to show your work. Determine the Sin, Cos, Tan for each angle. Be sure to show your work. Use 0 as an example Upload your completed circle in the dropbox provided. Describe any patterns that you see in the unit circle. 0 degrees 0 radian Sin = 0 Tan=0 Respond to one of the following choices in a word processing document. Your typed explanation must contain at least '100 words and should be answered with complete sentences. Choice #1: Describe each of the following properties of the graph of the cosine function, f(9) = 003(9), and relate the property to the unit circle definition of cosine. . Amplitude - Period . Domain 0 Range . x-intercepts Part 1 - Application A mass oscillating up and down on the bottom of a spring (assuming perfect elasticity and no friction or air resistance) can be modeled as harmonic motion. If the weight is displaced a maximum of 6 cm, nd the modeling equation if it takes 4 seconds to complete one cycle. Be to show, illustrate and explain your work. Part 2 - Find the error(s) and solve the problem correctly. Be sure to explain and show your work. Where did the "wrong answer" come from? Sin 52 Answer: sin 52 = .9866 Part 3 - Discussion Question Name 4 other angles whose cosine is the same as cos %. Explain using mathematical language how you know this is true. (calculations only using a calculator is not considered mathematical language). Is this statement true or false? Explain your answer. All angles that have the same cosine will have the same sine