Free online courseTrigonometry
Duration of the online course: 6 hours and 35 minutes
4.62
(39)
Learn trigonometry with Khan Academy's free online course. Master topics like trig functions, identities, unit circle, graphing, and word problems. Perfect for beginners!
Course Description
Trigonometry is an engaging and comprehensive course designed for learners who aim to grasp the fundamental concepts and applications of trigonometry. With a total duration of 6 hours and 35 minutes, this course efficiently covers various topics essential for understanding trigonometric functions, identities, and their real-world applications.
Rated 5 out of 5 stars, the course has garnered positive feedback from students who appreciate its structured approach and clarity. This high rating signifies the course's effectiveness and the value it delivers to learners, making it a trusted resource for anyone looking to strengthen their trigonometry skills.
Belonging to the Basic Studies category, under the Trigonometry subcategory, the course methodically breaks down complex concepts into digestible lessons, allowing students to build a solid foundation in trigonometry. The coursework begins with an introduction to basic trigonometric functions and progresses to more advanced topics such as the unit circle, graphing trigonometric functions, and trigonometric identities.
Throughout the course, learners will delve into detailed discussions on the radian and degree measures, unit circle definitions, and the applications of trigonometric functions. These foundational topics are crucial for mastering the subject and understanding its applications in various fields of study and professional practices.
Advanced sections of the course cover graphing trig functions, analyzing their graphs, and solving more complex trigonometric equations. These lessons are designed to help students visualize and interpret trigonometric functions accurately, enhancing their problem-solving skills and analytical abilities.
Students also explore various trigonometric identities and their proofs, gaining insights into mathematical reasoning and logic. The course offers clear explanations and demonstrations of proofs such as sin(a+b), cos(a+b), and other fundamental identities, ensuring learners can apply these concepts confidently in different mathematical contexts.
Utilizing real-world problems and scenarios, the course includes trigonometry word problems, navigation problems, and engaging applications like Ferris wheel and polar coordinates problems. These practical examples help solidify theoretical knowledge by demonstrating how trigonometry can solve real-life challenges.
Additionally, the course covers inverse trigonometric functions, parametric equations, and polar coordinates, broadening the learners' understanding and preparing them for more advanced mathematical studies. The inclusion of fun and challenging problems, such as the area of triangles and hexagons, further enriches the learning experience, making trigonometry both enjoyable and intellectually stimulating.
Overall, Trigonometry is a well-rounded course that provides comprehensive coverage of trigonometric concepts, ensuring learners develop a deep and practical understanding of the subject. Its structured lessons, high rating, and engaging content make it an excellent choice for anyone looking to master trigonometry.
Conteúdo do Curso
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Video class: Basic trigonometry | Basic trigonometry | Trigonometry | Khan Academy
0h09m
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Exercise: _What does the "trig" in trigonometry literally mean?
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Video class: Basic trigonometry II | Basic trigonometry | Trigonometry | Khan Academy
0h12m
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Video class: Radian and degree | Unit circle definition of trig functions | Trigonometry | Khan Academy
0h09m
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Exercise: _How many degrees are there in one radian according to the presentation?
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Video class: Using Trig Functions
0h10m
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Video class: Using Trig Functions Part II
0h08m
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Exercise: _What trigonometric function should be used to solve for the green side in the given problem?
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Video class: The unit circle definition of trigonometric function
0h09m
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Video class: Unit Circle Definition of Trig Functions
0h10m
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Exercise: _What is the mnemonic used to memorize the definitions of sine, cosine, and tangent functions in a right triangle?
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Video class: Graph of the sine function
0h07m
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Video class: Graphs of trig functions
0h10m
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Exercise: _What is the period of the sine function?
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Video class: Graphing trig functions
0h09m
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Video class: More trig graphs
0h05m
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Exercise: _What is the amplitude of the function shown in the graph?
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Video class: Determining the equation of a trigonometric function
0h09m
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Video class: Trigonometric Identities
0h09m
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Exercise: _What is the Pythagorean theorem?
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Video class: Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b)
0h09m
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Video class: Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b)
0h09m
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Exercise: _What is the trigonometric identity being derived in this text?
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Video class: Trig identities part 2 (part 4 if you watch the proofs) | Trigonometry | Khan Academy
0h09m
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Video class: Trig identities part 3 (part 5 if you watch the proofs) | Trigonometry | Khan Academy
0h08m
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Video class: Trigonometry word problems (part 1)
0h09m
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Video class: Trigonometry word problems (part 2)
0h02m
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Exercise: _What is the value of m in the equation 125 - 100 cosine of 15 degrees?
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Video class: Proof of the law of cosines | Trig identities and examples | Trigonometry | Khan Academy
0h09m
This free course includes:
6 hours and 35 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
100% free, from content to certificate
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