MindMap Gallery Trigonometric functions
Let junior high school students understand trigonometric functions. Trigonometric functions are a type of basic functions in mathematics, mainly including sine function (sin), cosine function (cos) and tangent function (tan).
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This infographic, created using EdrawMax, outlines the pivotal moments in African American history from 1619 to the present. It highlights significant events such as emancipation, key civil rights legislation, and notable achievements that have shaped the social and political landscape. The timeline serves as a visual representation of the struggle for equality and justice, emphasizing the resilience and contributions of African Americans throughout history.
This infographic, designed with EdrawMax, presents a detailed timeline of the evolution of voting rights and citizenship in the U.S. from 1870 to the present. It highlights key legislative milestones, court decisions, and societal changes that have expanded or challenged voting access. The timeline underscores the ongoing struggle for equality and the continuous efforts to secure voting rights for all citizens, reflecting the dynamic nature of democracy in America.
This infographic, created using EdrawMax, highlights the rich cultural heritage and outstanding contributions of African Americans. It covers key areas such as STEM innovations, literature and thought, global influence of music and arts, and historical preservation. The document showcases influential figures and institutions that have played pivotal roles in shaping science, medicine, literature, and public memory, underscoring the integral role of African American contributions to society.
Trigonometric functions
1. Recommend listening to some songs
1.1. Song of Trigonometric Functions
2. definition
2.1. Trigonometric functions are a class of functions commonly used in mathematics, including sine, cosine, and tangent.
2.2. Trigonometric functions are periodic functions and have periodicity
3. nature
3.1. The range of trigonometric functions is 1,1
3.2. The period of a trigonometric function is 2π
3.3. Symmetries of Trigonometric Functions
4. application
4.1. Trigonometric functions play an important role in solving triangle problems
4.2. Trigonometric functions also play an important role in solving physical problems
5. Graphics of Trigonometric Functions
5.1. graph of sine function
5.1.1. The graph of the sine function changes periodically
5.1.2. The graph of the sine function is positive and negative symmetric
5.2. Graph of cosine function
5.2.1. The graph of the cosine function changes periodically
5.2.2. The graph of the cosine function is positive and negative symmetric
5.3. graph of tangent function
5.3.1. The graph of the tangent function changes periodically
5.3.2. The graph of the tangent function is positive and negative symmetric
6. Trigonometric formulas
6.1. sine formula
6.1.1. The sine formula is sin(A B)=sinAcosB cosAsinB
6.2. cosine formula
6.2.1. The cosine formula is cos(A B)=cosAcosBsinAsinB
6.3. tangent formula
6.3.1. The tangent formula is tan(A B)=(tanA tanB)/(1tanAtanB)
7. Derivation of Trigonometric Functions
7.1. Derivation of the sine formula
7.1.1. The sine formula is derived by addition and subtraction of vectors
7.2. Derivation of cosine formula
7.2.1. The cosine formula is derived by addition and subtraction of vectors
7.3. Derivation of tangent formula
7.3.1. The tangent formula is derived by addition and subtraction of vectors
8. Transformations of Trigonometric Functions
8.1. Transformations of trigonometric functions include addition and subtraction of trigonometric functions
8.2. Transformations of trigonometric functions include multiplication and division of trigonometric functions
8.3. Transformations of trigonometric functions include squares and square roots of trigonometric functions
9. Integrals of trigonometric functions
9.1. The integrals of trigonometric functions include the integrals of sine functions
9.2. The integrals of trigonometric functions include the integrals of cosine functions
9.3. The integrals of trigonometric functions include the integrals of tangent functions
10. Series of trigonometric functions
10.1. The series of trigonometric functions include the sine series
10.2. Series of trigonometric functions include cosine series
10.3. The series of trigonometric functions include tangent series
11. Applications of Trigonometric Functions
11.1. Application of trigonometric functions in solving trigonometric problems
11.2. Application of trigonometric functions in solving physical problems
11.3. Application of trigonometric functions in solving engineering problems
11.4. Application of Trigonometric Functions in Solving Economic Problems
11.5. Application of Trigonometric Functions in Solving Life Problems