ALBERTA DISTANCE LEARNING CENTRE
Mathematics 30-1 MAT3791
Workbook 2.1
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Practice 2.1A
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Practice 2.1B
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Explore Your Understanding 2.1
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REVISED September 2017
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Workbook 2.1 Lesson 2.1 Angles of Rotation and Unit Circle
Explore Your Understanding Assignment 2.1
This assignment includes 12 marks. You are expected to complete 10 marks worth of work. If you complete more than this, all completed questions will be used to assign a grade. For example, if you complete all 12 marks worth of work, your assignment total will be 12 instead of 10. You can also complete a question and label it ¡°DO NOT MARK¡± if you are not confident in your work. Your marker will then give feedback on your response, which will help clarify any misconceptions, but will not count it towards your required mark total. Please contact your teacher if you have any questions.
1. Draw the following angles in standard position. 1 a.
3r
4
1 b. -700c
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ADLC Mathematics 30-1
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Lesson 2.1 Angles of Rotation and Unit Circle
Workbook 2.1
2. a.
Convert 385c to radians.
3. a.
c.
11r 3
b. Convert -7.2 radians to degrees.
Determine a negative angle coterminal to r6 . b. Determine all angles coterminal to 155c.
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ADLC Mathematics 30-1
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Workbook 2.1 Lesson 2.1 Angles of Rotation and Unit Circle
4. A fan with a 14 in diameter is run for 20 min. It rotates at 400 revolutions per minute (rpm). 1 a. How far does the outermost point of one of the fan blades travel during the run time?
1 b. How far does the midpoint of one of the fan blades travel?
2 5.
a. With the help of a diagram, explain why x2 + y2 = 1 can be used to determine whether or not a point lies on the unit circle.
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ADLC Mathematics 30-1
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Lesson 2.1 Angles of Rotation and Unit Circle Workbook 2.1
b. Provide a formula that can be used to determine whether a point lies on a circle that is centered about ^0,0h with a diameter of 12.
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