1. Draw the following angles in standard position. Make sure to be accurate and show the...

Transcribed Image Text:

1. Draw the following angles in standard position. Make sure to be accurate and show the rotation direction. (3 marks) a. 5 4 C. b. -800 14 6 2. Complete the following conversions showing all steps. a. Convert 234 to radians. State the solution as an exact fraction. (1 mark) b. Convert 8.2 radians to degrees. Round to the nearest hundredth. (1 mark) 3. Determine the following: 2 a. A negative angle in radian measure coterminal to . Show calculation steps and state 3 your answer as an exact value. (1 mark) b. The general statement to describe all angles coterminal to 165. (1 mark) 4. Kenny is riding a horse on the carousel at West Edmonton Mall. The horse is located 7.5 m from the centre of the carousel. a. The carousel turns through an angle of 360 before stopping to let off a crying child. How far did Kenny travel? Round your answer to the nearest tenth of a metre. (1 mark) b. Kenny travels approx. 1000 m on the horse before the carousel comes to a stop. How many times did the carousel go around? Round to the nearest whole number. (1 mark) 5. Given your understanding of the Unit Circle. a. The point Px, 5 lies on the unit circle. Determine the possible values for x. State your answers as exact values. (2 marks) b. Use the Pythagorean Theorem to prove that the point (1 mark) lies on the unit circle. 2'2 1. Draw the following angles in standard position. Make sure to be accurate and show the rotation direction. (3 marks) a. 5 4 C. b. -800 14 6 2. Complete the following conversions showing all steps. a. Convert 234 to radians. State the solution as an exact fraction. (1 mark) b. Convert 8.2 radians to degrees. Round to the nearest hundredth. (1 mark) 3. Determine the following: 2 a. A negative angle in radian measure coterminal to . Show calculation steps and state 3 your answer as an exact value. (1 mark) b. The general statement to describe all angles coterminal to 165. (1 mark) 4. Kenny is riding a horse on the carousel at West Edmonton Mall. The horse is located 7.5 m from the centre of the carousel. a. The carousel turns through an angle of 360 before stopping to let off a crying child. How far did Kenny travel? Round your answer to the nearest tenth of a metre. (1 mark) b. Kenny travels approx. 1000 m on the horse before the carousel comes to a stop. How many times did the carousel go around? Round to the nearest whole number. (1 mark) 5. Given your understanding of the Unit Circle. a. The point Px, 5 lies on the unit circle. Determine the possible values for x. State your answers as exact values. (2 marks) b. Use the Pythagorean Theorem to prove that the point (1 mark) lies on the unit circle. 2'2