1. Draw the following angles in standard position. Make sure to accurately plaee the terminal arm of the angle and shew the retatiun directie n. {3 marks] 2. Complete the following camersiens shaming all steps. a. Convert 432 to radians. State the solution as an exact fraction. [1 mark} h. Convert 10.8 radians to degrees. Hound to the nearest hundredth. [1 mark] \f4. Kenny is riding a horse on the carousel at West Edmonton Mail. The horse is located 6.5 m from the centre of the carousel. a. The carousel turns through an angle of 360\" before stopping to let off a crying ohiid. Determine how far Kenn-1r travels. Hound your answer to the nearest tenth of a metre. [1 mark} h. Kenny travels approx. BID m on the horse before the carousel comes to a stop. Determine how ITIEI'I'f' times the carousel goes around. Round to the nearest whole number. {1 mark} 5. Given your understanding of the Unit Eirde. a. The paint P[I,JT-] lies an the unit circle. Determine the possible values for 3:. State your answers as exact values. [2 marks} T 2 h. Use the Pythagorean Theorem to prove that the paint [.] lies on the unit circle. {1 mark} 2 5. Given osc'El :T'Ji a. Cosecant is a reciprocal trigo nometric ratio. Determine the primary trigonometric ratio for cosecant. State as a reduced fraction with a rational denominator. Show all algebra steps. {2 marks} b. State all possible values for 3 given 470 5 H a 3611\". Drew these angles in standard position on the unit circle below clearly showing the direction of rotation for each. [Note that since the conditional statement is in degrees, the solutions should he stated in degrees.) {3 marks] 7. Given 4cos 0-12cos 0 + 5=0 a. Solve algebraically, 0