Free online courseTrigonometry
Duration of the online course: 9 hours and 25 minutes
4.56
(16)
Unlock the fundamentals of trigonometry with this comprehensive free course. Topics cover angles, radians, unit circle, trigonometric functions, right triangles, and more.
Course Description
Welcome to the comprehensive Trigonometry course. Spanning over 9 hours and 25 minutes, this course has garnered an impressive average rating of 5 stars out of 5. Tailored for beginners, it delves into the fundamental concepts of trigonometry, making it a valuable resource within the Basic Studies category, specifically under the Trigonometry subcategory.
The course begins with an exploration of angles, radians, and degrees, laying down the essential groundwork for further study. It proceeds with a detailed explanation of coterminal angles in both radians and degrees, providing a solid foundation for understanding angular measurements and relationships.
One critical section covers converting decimal degrees to degrees, minutes, and seconds (DMS) and vice versa. This segment is designed to help you seamlessly switch between different units of angular measurement, a vital skill for solving various trigonometric problems.
Further, you will learn the arc length of a circle formula along with sector area computations. Demonstrations of these principles using radians in terms of ? enhance your understanding of circular measure and its applications.
Fascinating topics such as linear speed and angular velocity are addressed, followed by clock aptitude reasoning tricks, including techniques to find the angle between the hands of a clock given the time. The readability and clarity of these segments will particularly benefit those preparing for competitive exams.
The unit circle is introduced as a pivotal concept, offering a basic yet thorough introduction. Subsequent lessons focus on finding reference angles in both radians and degrees, which are critical when evaluating trigonometric functions.
Delve deeper into trigonometry with the six trigonometric functions and their reciprocal identities. This course simplifies evaluating these functions with various identities and example problems, helping learners gain proficiency through practice.
The exploration of even and odd trigonometric functions, along with Pythagorean identities, provides nuanced understanding and problem-solving techniques. This prepares you for more complex subjects such as using periodic properties to evaluate trigonometric functions.
Key focus areas include special right triangles, specifically 45-45-90 and 30-60-90 triangles, both crucial for standardized tests like the SAT and ACT. The course also covers cofunction identities, angle of elevation and depression word problems, finding sides and angles in right triangles, and evaluating trigonometric functions given a point on the terminal side.
A significant portion is dedicated to solving trigonometric equations, factoring, and using double-angle identities. The course also emphasizes practical applications like bearing problems and navigation, which are often encountered in real-world scenarios.
For those interested in advanced trigonometric concepts, this course explores double-angle and half-angle formulas, verifying identities, and simplifying expressions. Inverse trigonometric functions are also discussed in conjunction with these advanced formulas.
Lastly, the course provides insights into the law of sines and cosines, exploring them through various cases, such as AAS, SSA, SSS, and SAS triangles. The course wraps up with topics like polar coordinates, their conversion to rectangular forms, and graphing different function types, ensuring a well-rounded grasp of trigonometry.
This extensive course is designed to equip you with the necessary skills to conquer both basic and advanced trigonometric problems, making it an ideal choice for anyone looking to deepen their understanding of trigonometry.
Conteúdo do Curso
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Video class: Angles
0h14m
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Exercise: _What is an angle in geometry and how is it formed?
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Video class: Radians and Degrees
0h18m
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Video class: Coterminal Angles In Radians & Degrees - Basic Introduction, Trigonometry
0h06m
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Exercise: _What are coterminal angles?
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Video class: Decimal Degrees to DMS Formula - Converting Degrees Minutes and Seconds to Decimal - Trigonometry
0h11m
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Video class: Arc Length of a Circle Formula - Sector Area, Examples, Radians, In Terms of Pi, Trigonometry
0h15m
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Exercise: _What is the formula for finding the arc length of a circle based on the angle theta and the radius r?
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Video class: Linear Speed and Angular Velocity
0h18m
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Video class: Clock Aptitude Reasoning Tricks & Problems - Finding Angle Between The Hands of a Clock Given Time
0h12m
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Exercise: _What is the angle between the hour hand and the minute hand of a clock at 6:45?
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Video class: The Unit Circle, Basic Introduction, Trigonometry
0h12m
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Video class: How To Find The Reference Angle In Radians and Degrees - Trigonometry
0h12m
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Exercise: _What is the reference angle for an angle of 240 degrees relative to the positive x-axis?
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Video class: The Six Trigonometric Functions, Basic Introduction, Trigonometry
0h02m
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Video class: Reciprocal Identities, Example Problems, Trigonometry, Evaluating Secant and Cosecant Functions
0h16m
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Exercise: _What is the reciprocal identity of sine theta?
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Video class: Quotient Identities Trig Example, Evaluating Tangent and Cotangent Trigonometric Functions
0h12m
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Video class: Even and Odd Trigonometric Functions & Identities - Evaluating Sine, Cosine, & Tangent
0h10m
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Exercise: _Which of the following is an even trigonometric function?
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Video class: Pythagorean Identities - Examples & Practice Problems, Trigonometry
0h07m
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Video class: How To Evaluate Trigonometric Functions Using Periodic Properties - Trigonometry
0h04m
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Exercise: _What does the term "periodic" mean in trigonometry?
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Video class: Trigonometry For Beginners!
0h21m
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Video class: 45-45-90 Triangles, Special Right Triangle Trigonometry
0h02m
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Exercise: _What is the value of sine 45 degrees?
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Video class: 45-45-90 Triangles For SAT & ACT Math - Trigonometry & Geometry
0h10m
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Video class: 30-60-90 Triangles - Special Right Triangle Trigonometry
0h03m
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Exercise: _What is the value of cosecant 30?
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Video class: 30-60-90 Special Right Triangles For ACT & SAT Math - Geometry & Trigonometry
0h11m
This free course includes:
9 hours and 25 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
100% free, from content to certificate
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