1. Given a sector with an arc length of 4.5 cm and a radius of 3 cm, find the angle subtended by the arc. [2 marks] 2. Given a sector with an angle of 5 radians and a radius of 7 m, find the arc length. [2 marks] 3. Convert between radians and degrees. Express answers exactly if possible, otherwise to a whole number of degrees or 3 decimal places for radians. [4 marks] a. 180° b. 5 c. 13° d. 1/7 4. Determine the values of 0 if 0≤0≤2π given that cos 0=-0.3178 [5 marks] 5. Determine exact values of 0 if 0≤0≤2π given that tan 0=-√3 [5 marks] 6. Determine the values of 0 if -π≤0≤4π given that sin 0 = -0.05 [5 marks] 7. Why do radian measurements not have a unit indicated? [2 marks] 8. A given sinusoidal function has an amplitude of 8, an axis at y = 12, a period of 9π, and a maximum at x=3. Determine an equation for the function, and find all intersections of the function and y = 16 between x=-5π and x = 12. [8 marks] 9. Using electronic graphing tools, graph y= 2 sin(3[x4]) +5 and y = 2 csc(4x-3)-1 on the same axes. Find all points of intersection of the two functions between - and I, with answers to 2 decimal places. Include an image of the graphs in your response. [6 marks] 10. A given sinusoidal function has a period of 3, an amplitude of 7, and a maximum at (0, 2). Represent the function with a sine equation and a cosine equation. [4 marks] 11. Provide a trigonometric equation. Considering only the space between x = 0 and 2, the equation must only have solutions at x=1 and x = 2. Explain your thought process and the work you did to create the equation. You may round decimal values to 3 places. [6 marks] 12. How many different sinusoidal functions can be written that have a period of 3π, an amplitude of 1, and a minimum at (2, 3)? [1 mark]

Fig: 1