Question 1If , then the value of isa. b. c. 2d. Independent of e. None of the aboveQuestion 2The equation is solvable fora. b. c. d. e. None of the aboveQuestion 3Triangle is such that . If and are the roots of the equation , thena. b. c. d. e. None of the aboveQuestion 4If , then is equal toa. b. c. d. e. None of the aboveQuestion 5The value of isa. b. c. d. e. None of the above

Question 6The trigonometric equation has a solution fora. b. c. d. All real values of e. None of the aboveQuestion 7If , then the value of isa. b. c. d. e. None of the aboveQuestion 8For which value of , ?a. b. c. d. e. None of the aboveQuestion 9The implied domain of isa. b. c. d. e. None of the above

Question 10The length of the longest interval in which the function is increasing isa. b. c. d. e. None of the aboveQuestion 11The angle satisfies and .What is the value of ?a. b. c. d. e. None of the above

Question 12

Question 13

Question 14A set of parametric equations are defined as follows for

a. State the domain and range

b. Express in terms of

c. Sketch the curve

d. Use calculate to determine the area enclosed by the curve

A new parametric equation is defined as follows for

e. Use calculate to determine the area bound by the curve on the Cartesian plane

f. Determine the coordinates where the gradient is at a maximum

g. The curve is now rotated about the axis. Determine the volume of the solid produced.

Question 15a. Show the following:

b. Hence show the following:

c. Hence determine the values of and , which are integers.

Question 16Sketch the following function.

Question 17Sketch the following function.

Question 18

a. Find such that the inverse function is defined

b. Sketch the inverse function below