TRIGONOMETRY COURSE SUMMARY
Radian and Angles:
http://lamar.colostate.edu/~hillger/faq-images/faq-radian.gif
An angle is an opening that is measure in degrees. A radian is measurement where the radius is the same length as the arc length.
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How to measure in both degrees and radians
http://www.electronics-tutorials.ws/accircuits/acp22.gif
When I convert radians to degrees I multiply the radian by pi over 180.
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Trigonometry Course Summary
http://2.bp.blogspot.com/-Zk3qnpcD-FE/UOtS79z1RUI/AAAAAAAAABs/J25u8f_XAaA/s1600/82ccca_2854352.jpg
2-10 Sentence Summary of each point
1-2 Examples of each
Unit 1:
Angles:
How to measure in both degrees and radians
Know the conversion between degrees and radian measure
UNIT CIRCLE
4.1
Sine and Cosine:
- Their definition as x- & y-coordinates on the unit circle
- Their graphs as functions and the characteristics
- Students are capable of computing unknown sides or angles in a right triangle.
- Students use trigonometry in a variety of word problems.
Unit 2
Functions of the form f(t)=A sin (Bt + C) & f(t)=A cos (Bt + C):
- Graphing
- Properties: amplitude, frequency, period and phase shift (A, B & C)
- Student will be able to take a given angle and compute the trigonometric function and its inverse with the aid of the unit circle (by hand)
- Students use trigonometry in a variety of word problems.
4.4, 4.5, 4.7, 4.8
Unit 3:
Analytical Trigonometry:
- Fundamental Identities
- Sum and Difference Formulas
- Use double-angle and half-angle formulas to prove and/or simplify other trigonometric identities.
Analytical Trigonometry:
- Students will be familiar with the law of sines and law of cosines to solve problems
Unit 4:
Applications of Trigonometry:
- Students need to know how to write equations in rectangular coordinates in terms of polar coordinates.
- Vectors
- Parametric Relations
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