CHAPTER
SECTION 4-1 Measures of Angles and Rotations
Homework: p. 237 #2,3,5-15,19-22 & LM
New Terms:
1. draw an angle and label the angle, sides and vertex
2. revolution
3. radian
4. draw a full turn, half turn, and quarter turn
Questions to be answered by student during reading:
5. Using Example 1, explain how to find two ways to find other radian measures equivalent to any given rotation.
6. Copy the table of equivalent measures on p. 234
|Deg |
|Circular Sector Area |
| |
| |
| |
| |
Teacher Examples:
1. Find the length of an arc of a central angle with measure [pic] in a circle with radius 5 cm.
2. Find the area of a 27 degree sector of a circle with radius 10 feet.
3. Earth travels around the sun in an elliptical orbit, but one that is nearly circular with radius 93,000,000 miles. Using the circular approximation, about how far does the Earth travel in a single day. Use 365.25 days for the length of a year.
4.
[pic]
Section 4-3 Sines, Cosines, and Tangents
In Class Activity: Complete Activity on pg. 244
HW Problems: 1-4, 6-10, 13, 14, 15-19 & LM
Definitions/Theorems:
• Cosine
• Sine
• Unit circle:
• (cosΘ, sinΘ)
• Tangent = tanΘ
• Sketch of the Unit circle
Fill in the table with the appropriate information. See pg 247. This is a YARF.
|Θ |Quadrant |cosΘ |sinΘ |tanΘ |
|0< Θ ................
................
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