Don't waste your time answering if your not going to explain all and EVERY step*

Hello! *****#*Please fully answer and show and EXPLAIN all your work AND steps! (: thank you!* *****#*# Please walk me through everything you do & give examples why you chose certain things! I will use this paper as a reference for how to do things for next grades! Here: Please answer every question! 1. Show your understanding of radian measure and trig ratios: a) Determine the radius of the circle with arc length 20cm and a central angle of 1.5 radians. b) Convert 320 degrees to radians. Give your answer as an exact value. c) Determine the exact value of sec( ). Include a sketch of the angle in standard position. d) The point (10, -2) lies on the terminal arm of an angle in standard position. Determine the related acute angle and the principle angle. 2. Show your understanding of trigonometric functions: a) Explain the transformations that are occurring to the parent function f(x) as it is transformed into g(x) = - 2sin(7 (x - 7)) + 1. Sketch a graph (by hand), and label 5 key points. b) A sinusoidal function has an amplitude of 2, a period of it and a minimum of -3. Represent the function with an equation. Make connections between the characteristics and the equation of your function. c) Describe the key characteristics of f(x)=secx (domain, range, zeros, asymptotes). Include a sketch of the graph. 3. Show your understanding of solving trig equations by solving each of the following for 0, where oses 2n a) cos20 = c) 2sin e - sine = 14. Make connections between Trig functions and a real-life context and solve equations to answer a problem. Jo rides a Ferris wheel at a carnival. The wheel has a 16m diameter, and turns two revolutions per minute. Its lowest point is 2m off the ground. Jo's motion can be modelled by the equation h(t) = - 8cos ,5t + 10, where t is the time in seconds since the start of the ride, and h is her height above the ground at that time. a) Explain the period of this function, referencing both the equation and the context. b) Determine Jo's height after 15 seconds using the equation, and reflect on whether or not the answer makes sense. c) List all of the times in the first 2 minutes when Jo will be exactly 10m off the ground. Justify your answer algebraically and graphically. Show all your steps and EXPLAIN! "INC Thank you