Graphs and Laws of Trigonometric Functions for Engineering
Learn about the graphs of trigonometric functions and applications of the laws of sine from this free online course.Publisher: ADU
CertificationView course modules
Graphs and Laws of Trigonometric Functions in Engineering is a free online course that has been specially prepared to take you through the applications of trigonometric functions and other trigonometry concepts. Trigonometric functions are simple functions, the argument of which is an angle. Trigonometric functions describe the relationship between the sides and angles of a right triangle. Applications of trigonometric functions are extremely diversified. Today, trigonometry is found in everything from architecture to the manufacturing industry. Although it may seem as if trigonometry is never used outside of the lecture room, you may be surprised to learn just how often trigonometry and its applications are encountered in the real world. This course analyzes the properties of sine, cosine and tangent graphs. It explains the changes in amplitude, period and frequency. Every mathematical function, regardless of its simplicity or complexity, has an inverse. This course covers in detail inverse trigonometric functions and notations that are used to denote the inverse of a trig function. Get prepared for an exciting trigonometry journey as you will be analyzing examples that show the step-by-step process of how to solve different types of problems in trigonometry.
Do you want to learn how to solve for various sides and/or angles of any triangle? Then it is important that you sign up for this course. You will also learn about the 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. This course states the formula for calculating the area of a triangle and solving for triangles while using trig ratios. In a triangle, when two sides and the non-included angle are given, there exists the possibility of determining two distinct triangles having these components. This course illustrates how this can be done. It also illustrates how the Law of Sines can be used to find the number of possible triangles that can be constructed by using given measurements or the measurement of a missing angle. Did you know that it is possible to find the missing side lengths and angle measures of a triangle? These parts can be found by applying the law of cosines or the law of sines covered in this course.
Furthermore, you will learn how to determine the trig value of any angle measure by determining which quadrant its terminal ray is located and the angle of reference or the related angle. You will also learn how to find the values of the trigonometric functions using a special property called the even and odd properties. This course discusses polar coordinates and locating points on a graph sheet. It explores the step-by-step process for converting from rectangular to polar coordinates and how to convert from polar coordinates to rectangular coordinates. completing this course will give you an understanding of certain concepts of trigonometry and their applications. When two forces act on the same object, the Pythagorean theorem, the Law of sines, and the law of cosines can be helpful in determining the effect on that object. This just goes to show how versatile trigonometry is. The learning content in this course is crucial and will be of great interest to students, researchers, engineers, land surveyors, or anyone with an interest in excellent working knowledge of trigonometry. So, register for this course and start your next learning journey!Start Course Now
Application of Trigonometry
Application of Trigonometry - Learning Outcomes
Graphs of Trigonometric Functions
Inverse Trigonometric Functions
Applications of Laws Sine and Cosine
Trigonometric Ratios of Any Angle
Application of Trigonometry - Lesson Summary
Upon the successful completion of this module, you should be able to:
- Recall how to change from polar to rectangular coordinates and change from rectangular to polar coordinates.
- Recall how to plot points on the polar graph.
- Describe the Inverse sine function, Inverse cosine function and Inverse tangent function.
- State the law of cosines and sines.
- State the formulae for calculating the area of a triangle and use them to solve for triangles.
- Explain reference or related angles.
- Describe the process for evaluating a trigonometric function.
- Discuss how to find remaining trigonometric values when one value is known
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