Trig Do Now

1
Trig - Do Now

• Say a race started at 115722 AM. The winner
  crossed the finish line 4 minutes and 47 seconds
  later. What was the time at the point the runner
  finished?

2
Objectives

• 1.1 Angles
• Degree Measure
• What units can we use to measure angles?
• What are some special classifications of angles?
• How do we convert from degrees, minutes, and
  seconds to decimal degrees and vice versa?
• Standard Position
• What is an angle called if its terminal side lies
  on an axis?

• NJCCCS 4.2.12.E.1, 4.2.12.A.3

3
Objectives

• 1.1 Angles
• Coterminal Angles
• What other angle measures will have the same
  terminal side placement as one that is given?
• How do we determine how many degrees something
  has rotated in a second if we know the rotational
  speed in rotations per minute?

• NJCCCS 4.2.12.E.1, 4.2.12.A.3

4
Degree Measure

• Babylonians 360
• How many degrees is a complete rotation? ¼ of a
  rotation? 2/3 of a rotation?
• Angle types (name them!)

5
Degree Measure

• Angle relationships
• Complementary
• Supplementary
• Solving problems involving comp. supp. angles
• p.3 Example 1

6
Degree, Minutes, Seconds

• One minute is 1/60 of a degree.
• One second is 1/60 of a minute.

• Used in navigation

7
Example Calculations

• Perform the calculation.
• Since 86 is 26 more than 60, the answer is
  written as
• 5426

8
Example Calculations

• Perform the calculation.
• Write

9
Example Conversions

• Convert

10
Example Conversions

• Convert 34.624?

11
Standard Position

• An angle is in standard position if its vertex is
  at the origin and its initial side is along the
  positive x-axis.
• Angles in standard position having their terminal
  sides along the x-axis or y-axis, such as angles
  with measures 90?, 180?, 270?, and so on, are
  called quadrantal angles.

12
Coterminal Angles

• A complete rotation of a ray results in an angle
  measuring 360?. By continuing the rotation,
  angles of measure larger than 360? can be
  produced. Such angles are called coterminal
  angles.

13
Coterminal Angles

• A complete rotation of a ray results in an angle
  measuring 360?. By continuing the rotation,
  angles of measure larger than 360? can be
  produced. Such angles are called coterminal
  angles.

14
Coterminal Angles
Name the smallest angle of positive measure that
is coterminal with 420
15
Trig - Homework

• p. 6-7 1-4, 5, 11, 12, 13, 15, 17, 19, 20, 23,
  25, 27, 31, 33, 37 (due Thur)
• Quiz Friday App. C Sec. 1.1