Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trig

Chapter 12: Graph of Trigonometric and Inverse Trigonometric Functions and Solutions of Trig (114 videos)   (Practice Test)

12.1: Introduction

1. Trigonometric Functions for a Unit Circle
2. Values of Remaining Trigonometric Ratios
3. Domain and Ranges of Trigonometric Functions and Fundamental Identiti
4. Problem1-Domain and Ranges of Trigonometric Functions and Fundamental
5. Problem2-Domain and Ranges of Trigonometric Functions and Fundamental
6. Problem3-Domain and Ranges of Trigonometric Functions and Fundamental
7. Domain and Ranges of Sine and Cosine Functions
8. More on Domain and Ranges of Sine and Cosine Functions
9. Problem-Domain and Ranges of Sine and Cosine Functions
10. Domain and Ranges of Tangent and Cotangent Functions
11. More on Domain and Ranges of Tangent and Cotangent Functions
12. Problem-Domain and Ranges of Tangent and Cotangent Functions
13. Domain and Ranges of Secant Function
14. More on Domain and Ranges of Secant Function
15. Problem-Domain and Range of Secant Function
16. Domain and Ranges of Cosecant Function
17. More on Domain and Ranges of Cosecant Function
18. Problem-Domain and Range of Cosecant Function
19. Even and Odd Functions
20. Problem-Even and Odd Functions
21. Introduction to Period of Trigonometric Functions
22. Problem-Introduction to Period of Trigonometric Functions
23. Maximum and Minimum Values of Certain Trigonometric Functions

12.2: Trigonometric Functions for a Unit Circle

1. Graphs of Trigonometric Functions
2. Problem-Graphs of Trigonometric Functions
3. Problem1-Graph of y = Sin x From - 360 to 360 Degree
4. Problem1-Graph of y = Cos x From - 360 to 360 Degree
5. Problem2-Graph of y = Cos x From - 360 to 360 Degree
6. Graph of y = Tan x From - 180 to 180 Degree
7. Problem-Graph of y = Tan x From - 180 to 180 Degree
8. Graph of y = Cot x From - 360 to 180 Degree
9. Problem-Graph of y = Cot x From - 360 to 180 Degree
10. Problem-Graph of y = Sec x From - 360 to 360 Degree
11. Problem-Graph of y = Cosec x From - 360 to 360 Degree
12. Graph of Sin2A and Cos2A Where A is a Positive Constant
13. More on Graph of Sin2A and Cos2A Where A is a Positive Constant
14. Symmetric Properties of the Graph of SinA, CosA and TanA
15. Periodic Properties of the Graph of SinA, CosA and TanA
16. Even and Odd Functions
17. Translation Property of the Graph of SinA, CosA and TanA
18. More on Translation Property of the Graph of SinA, CosA and TanA
19. Maximum and Minimum Values of Certain Trigonometric Functions
20. Graphical Solution of Some Trigonometric Equations
21. Introduction to Solutions of Trigonometric Equations
22. Problem-Introduction to Solutions of Trigonometric Equations
23. Solution of the Type SinA = k, Cos A = k and TanA = k

12.3: Domain and Range of Trigonometric Functions  (Practice Test)

1. Introduction to Inverse Trigonometric Functions
2. Vertical and Horizontal Line Tests
3. More on Vertical and Horizontal Line Tests
4. The Inverse Sine Function
5. Problem1-The Inverse Sine Function
6. Problem2-The Inverse Sine Function
7. Inverse Relation of General Sine Functions
8. The Inverse Cosine Function
9. Problem1-The Inverse Cosine Function
10. Problem2-The Inverse Cosine Function
11. The Inverse Tangent Function
12. Problem1-The Inverse Tangent Function
13. Problem2-The Inverse Tangent Function
14. Inverse Cotangent, Secant and Cosecant Functions
15. More on Inverse Cotangent, Secant and Cosecant Functions
16. Further on Inverse Cotangent, Secant and Cosecant Functions
17. Problem1-Inverse Cotangent, Secant and Cosecant Functions
18. Problem2-Inverse Cotangent, Secant and Cosecant Functions
19. Domains and Ranges of Principal and Inverse Trigonometric Functions
20. Problem1-Domains and Ranges of Principal andInverse Trigonometric Fun
21. Problem2-Domains and Ranges of Principal andInverse Trigonometric Fun
22. Problem3-Domains and Ranges of Principal andInverse Trigonometric Fun
23. Problem4-Domains and Ranges of Principal andInverse Trigonometric Fun
24. Problem5-Domains and Ranges of Principal andInverse Trigonometric Fun
25. Problem6Domains and Ranges of Principal andInverse Trigonometric Func
26. Inverse Trigonometric Identities
27. More on Inverse Trigonometric Identities
28. Further on Inverse Trigonometric Identities
29. Addition and Subtraction Formulas
30. More on Addition and Subtraction Formulas
31. Problem-Addition and Subtraction Formulas
32. Problem-More on Addition and Subtraction Formulas

12.4: Even and Odd Trigonometric Functions  (Practice Test)

1. Solution of General Trigonometric Equations
2. Problem1-Solution of General Trigonometric Equations
3. Problem2-Solution of General Trigonometric Equations
4. Problem3-Solution of General Trigonometric Equations
5. Solution of General Trigonometric Equations
6. Solution of General Trigonometric Equations by Factorization
7. Problem-Solution of General Trigonometric Equations by Factorization
8. Solution of Trigonometric Equations by Trigonometric Identities
9. Problem-Solution of Trigonometric Equations by Trigonometric Identiti
10. Solution of Trigonometric Equations by Quadratic Formula
11. Problem-Solution of Trigonometric Equations by Quadratic Formula
12. Writing aSinA + bCosA in the Form r Sin(A + B )
13. Solving aSinA + bCosA = c
14. Trigonometric Equations Containing Principal Functions
15. Problem-Trigonometric Equations Containing Principal Functions

12.5: Periodicity of Trigonometric Functions  (Practice Test)

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