Introduction to Trigonometry for Engineering
Learn about the variety of areas engineers use trigonometry to develop solutions in this free online course from Alison.Publisher: ADU
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Introduction to trigonometry for engineering is a free online course that has been specially prepared to take you through an introductory level of your trigonometry journey. Learning about trigonometry can be tough. Once you feel you mastered solutions to one type of trigonometry problem you get stumped on the next. However, this course promises to make your learning process detailed yet easier. What are trigonometric functions? how can trig functions be evaluated with the right type of scientific calculator? In this course, each section answers basic trigonometry questions and gives basic definitions to help you understand what trigonometry is as well as the trigonometry processes you will need to know moving through the course. There are many applications of trigonometry that can be used in our day to day life. An example is the technique of triangulation, which is used in astronomy to measure the distances to nearby stars, in geography to measure distances between landmarks, and in satellite navigation systems. This course prepares you for your trigonometry journey by taking you through examples that show the step-by-step process of how to complete different types of problems in trigonometry.
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Basic trig functions can be used to ‘solve’ right-angled triangles, they can be used to solve practical problems provided right-angled triangles can be constructed from the information given. In order to do this, the definition of particular angles must be known. If you want to learn how an angle determines the ratio of sides, and the ratio determines the angle. To solve for the basic trigonometry ratio, or basic concepts for trigonometry application, this course is for you. This course illustrates solving for triangles while using trig ratios. You will learn about the different types of angles and their classification. You will also learn about the measurement of angles, as well as the conversion between degrees and radians. In trigonometry, each side of a right-angled triangle is given a name. The hypotenuse is the longest side of the triangle and is always the side opposite the right-angle. The other two sides are the opposite or adjacent. Depending on which angle is being referred to. This course analyzes sine, cosine, tangent and reciprocal trigonometric functions. It also explores their individual cofunctions. You will learn about trigonometric values of quadrantal angles.
Furthermore, you will learn about the vocabulary used in trigonometry. You will also learn about reciprocal identities, quotient identities and Pythagorean identities. You will also learn how to solve for sine, cosine and tangents of the sum or difference of two angles. This course analyzes double angle identities and half-angle identities. Today, the generation of electrical current or a computer uses angles in ways that are difficult to see directly, but rely on the fundamental rules of trigonometry to work properly. This course explains in detail how to solve first- and second-degree trigonometric equations as well as working with equations with more than one trigonometric function. If you do not complete this course, certain concepts of trigonometry may often appear as a mirage to you. The learning contents 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.
Introduction to Trigonometry
Introduction to Trigonometry - Learning Outcomes
Introduction to Trigonometric Concepts
Special Right Triangles
Angles and their Classification
Reciprocals of Trigonometric Functions
Introduction to Trigonometry - Lesson Summary
Trigonometric Identities and Equations
Trigonometric Identities and Equations - Learning Outcomes
Identities and Equations
Double and Half Angle Identities
Solving Trigonometric Equations
Trigonometric Identities and Equations - Lesson Summary
Upon the successful completion of this module, you should be able to:
- Identify the basic trigonometric Identities.
- Define trigonometric identity and solve to prove identities.
- State the formulas for the sine, cosine and tangent of the sum and the difference of two angles.
- Describe the double angle Identities for cosine, sine and tangents.
- Recall trigonometry equations: first and second degree, equations with more than one trig function.
- List the different types of angles
- Recall quadrants and angle classification
- Recall sine and cosecant functions, cosine and secant functions as well as tangent and cotangent functions.
- State the process for finding the lengths of sides and the measures of angles in a right triangle using trigonometric ratios.
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