127 1 mark 40 how many solutions are there to the

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127 (1 mark) 40. How many solutions are there to the trigonometric equation sin 1 over the interval [0, 10 ] ?

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16 Pre-Calculus Mathematics: Booklet 2 (January 2010) No marks will be awarded for work done on this page.
Pre-Calculus Mathematics: Booklet 2 (January 2010) 17 Long-Answer Questions Instructions There are 10 long-answer questions worth a total of 35 marks. Calculators are not allowed for this part of the test. Write each solution in the space provided. For full marks, your answers must show all pertinent diagrams, calculations, and explanations. Your solutions should be neat, clear, and well organized. If any curve contains asymptotes, the asymptotes should be included in the graph. Solutions need not have rationalized denominators.

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18 Pre-Calculus Mathematics: Booklet 2 (January 2010) No marks will be awarded for work done on this page.
Pre-Calculus Mathematics: Booklet 2 (January 2010) 19 Long-Answer Questions Do Not Use 128 (1 mark) 41. Five chairs are arranged in a row. a) How many ways can 5 people be seated in these chairs? You may express your answer in factorial form. 129 (3 marks) b) What is the probability that Nate and Jeremy, 2 of the 5 people, will not sit together? Briefly explain your calculations. You may express your answer in factorial form.

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20 Pre-Calculus Mathematics: Booklet 2 (January 2010) Do Not Use 130 (3 marks) 42. Find the exact value of 17 cos 12 .
Pre-Calculus Mathematics: Booklet 2 (January 2010) 21 Do Not Use 43. a) The graph of y f x is given below. 131 (2 marks) Sketch a clearly labelled graph of 2 1 y f x . 1 1 y x 1 y x 1 The graph of y f x has already been drawn for your reference. No marks will be awarded for this graph.

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22 Pre-Calculus Mathematics: Booklet 2 (January 2010) Do Not Use 43. b) The graph of y f x is given below. 132 (1 mark) Sketch a clearly labelled graph of 1 y f x . 1 1 y x 1 y x 1 The graph of y f x has already been drawn for your reference. No marks will be awarded for this graph.
Pre-Calculus Mathematics: Booklet 2 (January 2010) 23 Do Not Use 43. c) The graph of y f x is given below. 133 (2 marks) Sketch a clearly labelled graph of 2 y f x . The graph of y f x has already been drawn for your reference. No marks will be awarded for this graph. 1 1 y x 1 y x 1

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24 Pre-Calculus Mathematics: Booklet 2 (January 2010) Do Not Use 134 (2 marks) 44. a) Sketch a clearly labelled graph of the conic section 2 2 1 3 1 4 9 x y .
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• Spring '12
• A.Young
• Trigonometry, Manitoba Education, pre-calculus mathematics

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