Introduction to Trigonometry for General Studies
Learn about the application of trigonometry from measuring angles to trigonometric identities in this free online coursePublisher: ADU
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Introduction to trigonometry for general studies is a free online course that has been specially prepared to take you through an introductory level of the rules, concepts and applications of trigonometry. This course begins by taking you through the use of scientific calculators. Trigonometry as the name may suggest is about right-angled triangles and is said to be the most important mathematical relationship ever discovered. It is an important tool for evaluating measurements of height and distance. Trigonometry is not narrowed to a career path or profession as it plays an important role in surveying, navigation, engineering, astronomy, computer-generated imagery and many other branches of physical science. What are trigonometric functions? Remembering trigonometric functions can be difficult and confusing. However, this course will make your learning process easier. This course covers in detail the three basic functions in trigonometry, where each is one side of a right-angled triangle divided by another. This course also explores reciprocal trigonometric functions; cosecant, secant and cotangent. This course will prepare you for basic real-life problems that can be solved using trigonometry. It will take you through illustrations that show the step-by-step procedures on how to complete different types of problems in trigonometry.
If you want to learn about special right-angle triangles, similar triangles and the methods for proving similar triangles, it is important that you complete this course. While working with trigonometry, it is also important to understand how to solve triangles using trig ratio. Trigonometry may not have many everyday applications, but it does help you to work with triangles more readily. In this course, you will learn about the measurement of angles as well as how to convert between degrees and radians. You will also learn how to determine the length of the arc of a circle. This course illustrates quadrants and angle classification. What are coterminal angles and how are they determined? This course answers frequently asked questions in trigonometry with detailed illustrations or media contents. You will learn about reference or related angle and the formulae for finding the reference angle when the terminal ray of the angle lies in quadrants II, III and IV. You will also learn about cofunctions and trigonometric values of quadrantal angles.
Furthermore, this course outlines the angle of elevation and depression as well as the line of sight. If you want to learn about the three Pythagorean identities and how to implement them, then this course is for you. Trigonometry is a useful supplement to geometry and actual measurements, and as such is worth developing an understanding of the basics. This course will take you through determining the trig value of any angle measure. You will learn about the method for finding the values of the trigonometric functions using a special property called the even and odd properties. This course explores how to find the remaining trigonometric values when one value is known. It is important for you to complete this course in order to avoid having certain concepts of trigonometry appear like a mirage. The learning contents in this course is crucial and will be of great interest to students, researchers, land surveyors or anyone with an interest in excellent working knowledge of trigonometry. So, register for this course and start your next learning journey.
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Introduction to Trigonometry
Trigonometry - Learning Outcomes
Introduction to Trigonometry
Special Right Triangles
Applications of Trig Ratio
Trigonometry - Lesson Summary
Introduction to Trigonometry - Assessment
Angles and Their Measures
Angles and Their Measures - Learning Outcomes
Terminology Used in Angles
Reciprocals of Trigonometric Functions
Trigonometric Ratios of Any Angle
Angles and Their Measures - Lesson Summary
Angles and Their Measures - Assessment
Upon the successful completion of this course, you should be able to:
- Outline the vocabulary and terminology used in trigonometry.
- Recall how to apply trigonometric concepts to real-world problems.
- Define and apply the six fundamental trigonometric ratios.
- Identify the four methods for proving similar triangles.
- State the process for finding the lengths of sides and the measures of angles in a right triangle using trigonometric ratios.
- Explain reference or related angles.
- Describe the process for evaluating a trigonometric function.
- Recall quadrants and angle classification.
- Analyze how to convert between degrees and radians
- Recall sine, cosine and tangent functions as well as reciprocal trigonometric functions
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