CLEP Pre-Calculus: Trigonometry
This free online course examines the basics of trigonometric functions, as well as the application of various trig laws.Publisher: ADU
CertificationView course modules
Trigonometry is said to be as old as the Hellenistic world. Which interestingly, dates back to the 3rd century. So, it is not surprising that we find applications of trigonometry ranging from astronomy to oceanography. Closer to us, we find its applications in surveying lands for plot mapping and range finding. Archaeologists also relate the codification of climatic seasons and calendars of various ancient dynasties with aspects of modern trigonometry. This course provides great help to students and professionals struggling with trigonometry in school or industry. Because trigonometry can hardly be avoided in science and technology. The course introduces basic trigonometric formulas useful in pre-calculus. These formulas are explained from their fundamental derivations covering properties of right angle triangles. The right angle triangles further relate defined sides with respect to given angles usually named with Greek letters like theta and phi. Put all your trigonometry fears to end by carefully going through the fundamentals of trigonometric identities and equations outlined in this course. Analyze all there is to the basic workings of ratios in trigonometry.
Computers, unlike humans, cannot listen and comprehend sounds we enjoy like music. Rather, they code and decode sounds mathematically by representing sounds into constituent waves. Fascinating! These waves have various properties evaluated in this course covering frequency, wavelength, and amplitude. Therefore, it is important for sound engineers to understand the basics of trigonometry. Wouldn’t you want to know how computers code and decode sounds? As is commonly known, trigonometry is the study of the different relationships between angles. Learn about every relationship and property of angles relevant to pre-calculus. Including common functions like sin, cosine, and tangent. Also, gain knowledge on using such functions to correctly graph useful quantities that are applied in many industries and different school levels. It is expected that upon the successful completion of modules in this course you will be able to accurately measure and calculate various angles at a heartbeat. It is also expected that you will be able to correctly state the popular laws of trigonometry effortlessly.
Start Course Now
Furthermore, proofs of trigonometric laws are covered in this course to help learners become familiar with them. Learners would be able to easily state the Pythagorean theorem algebraically when they successfully complete this course. Also, apply the theory in deriving many formulas relevant to science, technology, engineering, and mathematics yourself. Analyze graphs of various trigonometric functions along with their inverses. Can you possibly imagine a world without the applications of trigonometry? A world without geometry or the many branches of mechanics. It is important for learners to take courses like this CLEP Pre-Calculus: Trigonometry to help continue the development of human society through industries and technology. We have every need for continuous knowledge on circular functions, trigonometric ratios, arcs, and the many trigonometric identities relevant to pre-calculus. What are you waiting for? Enrol in this free online course to learn all about the important basics of trigonometry. Start your learning journey today!
Trigonometry and Angles
Trigonometry and Angles - Learning Outcomes
Introduction to Trigonometry
Angle and Arc Basics
Trigonometric Ratios of Angles
Trigonometry and Angles - Lesson Summary
Trigonometric Identities and Equations
Trigonometric Identities and Equations - Learning Outcomes
Identities and Equations
Double Angle Identities
Graphs of Trigonometric Functions
Inverse Trigonometric Functions
Applications of Sine and Cosine Laws
Trigonometric Identities and Equations - Lesson Summary
Upon the successful completion of this course, you should be able to:
- Outline four methods for prooving similar angles.
- Explain the basic trigonometric ratio.
- Recall how to solve for triangles using trigonometric ratio.
- Distinguish the various types of angles and their quadrants.
- Evaluate the basic Pythagorean identities and solve for co-function.
- Discuss sine functions, cosine functions and tangent functions.
- Describe related or reference angles and how to solve problems using them.
- Recall how to find the sine, cosine and tangents of the sum or difference of two angles.
- Recall the graphs of the six trigonometric functions.
- Discuss inverse cosecant, secant and cotangent functions.
- Solve for a first and second-degree trigonometric as well as the equations with more than one trig function.
- Explain the law of sine and cosine.
All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:
Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
Alison offers 3 types of Certificates for completed Certificate courses:
Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping
All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.