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Trig Mind Map
4.5 & 4.6
5.5 Half Angle formulas
4.7 Inverse Trig. Functions/composition of Functions
4.5: Sine and cosine graphs.
4.6: Tangent, cotangent, secant, and cosecant graphs.
see papers with sketches ;-)
In 4.7, the objective is to be able to evaluate & graph inverse sine functions, as well as other trig. functions.
Then evaluate compositions of trig. functions.
5.1 Fund Trig. Identities
In 5.1, the objective is to be able to recognize and write the fundamental trig. identities.
Then, use the fundamental trig. identities to evaluate trig. functions, simplify trig. expressions, & rewrite trig. expressions.
In 4.3, the objective is to be able to evaluate trig. functions of acute angles.
Use the fundamental trig. identities.
Then, use the trig. functions to model & solve real-life problems.
4.3 Trig Functions & Trig identities
The 6 Trig. Functions:
sine, cosine, tangent, cosecant, secant, cotangent
5.5 Double Angle Formulas
5.5 Power Reducing Formulas
The history and benefits of mind mapping.
5.4 Sum & Difference formulas
4.2 Unit Circle
Use these sum & difference formulas to evaluate trig. functions verify trig. identities, and solve trig. equations.
Mind Mapping is a form of visual thinking done by writing one's ideas down in the form of pictures or other graphical representation in order to get as clear a picture of the subject in question as possible.
Historians have recognized that Leonardo da Vinci used mind mapping for note taking. He is sometimes considered as the historical person who popularized mind mapping the most.
Although historians found various traces of mind mapping throughout history after Leonardo, they were relatively insignificant until the beginning 1950s or 60s.
5.2 Guidlines for Verifying Trig. Identities
5.5 product to sum formulas
Easily enough within 5.2 the objective is to learn how to verify trig. identities.
Guidelines:
1. Work with 1 side of the equation at a time.
2. Seek to factor an expression, add fractions,square a binomial, or create a monomial denominator.
3. Look to use fundamental identities.
4. When the preceding guidelines do not help, try converting all terms to sines and cosines.
5. Always try something :)
The benefits of mind mapping:
It is helpful in brainstorming, note taking, problem solving, memory, learning and visual thinking techniques. People such as psychologists, educators, engineers and other professions often use mind mapping to aid them.
5.5 sum to product formulas
In 4.2, the objective is to be able to identify the unit circle and it's relationship to real numbers.
Learn to evaluate trigonometric functions using the unit circle.
Then, use domain and period to evaluate sine & cosine functions.