Download - Trigonometry - Weebly
10
Trigonometry Main topics:
1. General Angles a. General Angles b. Basic Angles
2. Trigonometric Ratios of any angles a. 4 Quadrants b. Negative Angles c. Complementary Angles d. Special Angles
3. Solving Trigo Equations 4. Trigo Graphs
a. Basic Shapes b. Amplitude, Period & Line of Equilibrium (effect of a, b and c)
5. Identities 6. Further Identities
a. Compound Angle b. Double Angle / Half-Angle c. R Formula d. Factor Formula (sum-to-product and product-to-sum)
11
General Angles
12
Basic Angles
13
14
15
Example
Example
16
Solving Trigo Equations
Example
17
Trigo Graphs Basic Trigo Graphs
18
Amplitude, Period & Line of Equilibrium
cbxay += sin and cbxay += cos a: determines the amplitude
b: determines the period (i.e., bπ2 rad. Or
b
o360)
c: line of equilibrium (‘the middle line’) Example
Amplitude
Amplitude
Period
Axis of the Curve
19
Summary of Trigo Graphs
20
Trigonometric Identities
21
Example
Example
22
Further Trigonometric Identities
Example
23
Example
24
Double Angle Formula
Half Angle Formula
25
Example
Example
26
R Formula
27
Example
28
Factor Formula (Sum-to-product, Product-to-sum)
Example