CHECK OUT "TOPICS RELATED TO CURRENT LESSONS"
There are two new links: One is to the "MATH FORUM". This site offers online help as well as a lot of interesting math stuff. The other link is to various latitude maps and relevant information.
Sunday, October 19, 2008
TRIG LESSON 1.1 Adv. Alg. Trig and PAPPC
Hello everyone,
The BLOG is BACK !:)!
Thanks for your kind words, cards, and expressions of sympathy during the loss of my mother. You are a wonderful group of students and I am so honored to be your teacher.
Let's review what we have learned since beginning our study of Trig.
1. There are two ways to measure an angle: DEGREES & RADIANS
We have learned how to convert from degrees to radians and vice versa.
30 degrees X pi/180degrees converts to pi/6 radians.
Degrees and Radians are two ways to measure the same angle, just like fahrenheit
and celsius are two ways to measure the same temperature.
2. We did an exploration in which we discovered the true meaning of 1 radian:
ONE RADIAN is the measure of an ANGLE that intercepts an ARC EQUAL TO THE
RADIUS OF THE CIRCLE.
3. Another exploration involved complementary and supplementary angles. We reviewed
that an angle has no complement if greater than 90 deg., and no supplement if
greater than 180 deg.
4. Coterminal angles are found by adding or subtracting any multiple
of pi to the given angle.
5. All of you need to know the quadrant angles in both degree
and radian measure. It is also useful to be familiar with the radian measure
as a decimal value rounded to two places. This knowledge is useful when a
problem tells you to determine the quadrant in which an angle
lies. You will use this strategy of determining the
quadrant when told to sketch an angle in standard position.
6. Convertions between decimal degrees and degrees/minutes/seconds were practiced
so that we could work application problems involving latitude.
7. There are three important formulas in Lesson 1.1:
Arc Length - used in latitude applications involving distance between cities and
difference in latitude between two cities.
Linear Velocity - (distance)/(time) or (radius)X(angular velocity)
Angular Velocity- (radians)/(time)
The # of revolutions can be changed to angular velocity:
Just multiply (rev.)/(time) X (2pi rad)/(1rev.)
STAY TUNED THE UNIT CIRCLE IS OUR NEXT LESSON!
The BLOG is BACK !:)!
Thanks for your kind words, cards, and expressions of sympathy during the loss of my mother. You are a wonderful group of students and I am so honored to be your teacher.
Let's review what we have learned since beginning our study of Trig.
1. There are two ways to measure an angle: DEGREES & RADIANS
We have learned how to convert from degrees to radians and vice versa.
30 degrees X pi/180degrees converts to pi/6 radians.
Degrees and Radians are two ways to measure the same angle, just like fahrenheit
and celsius are two ways to measure the same temperature.
2. We did an exploration in which we discovered the true meaning of 1 radian:
ONE RADIAN is the measure of an ANGLE that intercepts an ARC EQUAL TO THE
RADIUS OF THE CIRCLE.
3. Another exploration involved complementary and supplementary angles. We reviewed
that an angle has no complement if greater than 90 deg., and no supplement if
greater than 180 deg.
4. Coterminal angles are found by adding or subtracting any multiple
of pi to the given angle.
5. All of you need to know the quadrant angles in both degree
and radian measure. It is also useful to be familiar with the radian measure
as a decimal value rounded to two places. This knowledge is useful when a
problem tells you to determine the quadrant in which an angle
lies. You will use this strategy of determining the
quadrant when told to sketch an angle in standard position.
6. Convertions between decimal degrees and degrees/minutes/seconds were practiced
so that we could work application problems involving latitude.
7. There are three important formulas in Lesson 1.1:
Arc Length - used in latitude applications involving distance between cities and
difference in latitude between two cities.
Linear Velocity - (distance)/(time) or (radius)X(angular velocity)
Angular Velocity- (radians)/(time)
The # of revolutions can be changed to angular velocity:
Just multiply (rev.)/(time) X (2pi rad)/(1rev.)
STAY TUNED THE UNIT CIRCLE IS OUR NEXT LESSON!
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