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Elevate your understanding of trigonometry with our Trigonometry Mastered course! Gain mastery over angles, triangles, and functions in this comprehensive program. Join now for a transformative learning experience and unlock the secrets of trigonometric success. Enrol today

£30.99 inc. VAT
Course Access

1 year

Last Updated

December 22, 2023

Students Enrolled


Course Duration

10 hours, 45 minutes

Course Instructor
Struggling to understand trigonometry? Not sure where to begin? You are, however, at the proper location. I would like to welcome you to this trigonometry course, where you will learn the skills necessary to become an expert in polar coordinates, right angles, unite circles, and analytical trigonometry. 
"Trigonometry Mastered" is an advanced course designed to empower students with a comprehensive understanding of key concepts in trigonometry, leveraging a diverse set of mathematical tools. The course delves into various fundamental topics, including Number sets, Graphing Tools, and The Coordinate Plane, laying the foundation for a deep exploration of trigonometric principles.
Students will navigate the intricacies of Terminal Points, learning to locate and understand the significance of points on the unit circle. The exploration of Trigonometric Functions will equip learners with the knowledge to analyse and manipulate these functions effectively. The course unveils the beauty of trigonometric graphs, focusing on the Graph of Sine & Cosine, Tangent & Cotangent Graphs, and Secant & Cosecant Graphs. Participants will master the visualisation of these functions, gaining insight into their patterns and behaviors.
A critical aspect of the course is the study of Domain and Range, specifically for Sec, Csc, and Cot functions, enabling students to confidently determine the permissible inputs and outputs in various trigonometric scenarios. Trigonometric Ratios and Special Angles will be explored in-depth, providing students with a solid grasp of the relationships between angles and sides in right-angled triangles. The curriculum also covers Polar Coordinates, offering an alternative perspective on representing points in the plane. The application of trigonometric concepts extends to Multiplication and Division, where students will discover how to manipulate trigonometric expressions efficiently. The Polar Form of Complex Numbers and Graphing Complex Numbers introduce a connection between trigonometry and complex algebra, enriching the understanding of mathematical structures. The course culminates in Analytic Trigonometry, where students refine their problem-solving skills and explore advanced topics, bringing together the various elements studied throughout the course. Through rigorous exploration and practical applications, "Trigonometry Mastered" ensures that students not only grasp the intricacies of trigonometry but also develop the analytical skills necessary for success in advanced mathematics and related fields.

You will have the following skills after completing this course:

  • Fully understand the Unite Circle.
  • Learn how to find Terminal Points, Reference Numbers and Reference Angles.
  • Learn what are Trigonometric Functions.
  • Master graphing Trigonometric Functions.
  • Be able to determine Domain and Range of Trig Functions.
  • Be able to use the Law of Sins and Cosines.
  • Proof Trig functions and identities.
  • Master the different Trigonometric Formulas.
  • Be able to go from Polar to Rectangular Coordinate and back.
  • Be able to graph Polar Equations.
  • Use De Moiver's Theorem.
  • Find the nth Roots of Complex Numbers.

Who will benefit from this course?

"Trigonometry Mastered" is tailored for individuals seeking a deep and comprehensive understanding of trigonometry, making it beneficial for a diverse range of students and professionals. Specifically, the following groups will find significant value in this course:
  1. High School and College Students:Students currently studying trigonometry in high school or college will benefit from the detailed exploration of key concepts, providing a solid foundation for advanced coursework in mathematics, physics, engineering, and related disciplines.
  2. Mathematics Enthusiasts:Individuals with a keen interest in mathematics and a desire to delve into the beauty of trigonometry will find this course intellectually stimulating. It caters to those who enjoy exploring the intricacies of mathematical principles beyond the standard curriculum.
  3. Engineering and Science Majors:Students pursuing degrees in engineering, physics, computer science, and other STEM fields will find the course essential for understanding and applying trigonometric concepts in real-world problem-solving scenarios.
  4. Professionals Requiring Trigonometry Skills:Professionals working in fields such as architecture, surveying, computer graphics, and any discipline where trigonometry plays a crucial role will benefit from the practical insights provided by the course.
  5. Preparation for Standardised Tests:Individuals preparing for standardised tests that include trigonometry, such as the SAT, ACT, GRE, or GMAT, can use this course as a comprehensive review and enhancement of their trigonometric skills.
  6. Self-Learners and Lifelong Learners:Anyone with a self-directed learning approach and a passion for expanding their mathematical knowledge will find "Trigonometry Mastered" to be a valuable resource for self-improvement and skill development.
By catering to a broad audience, the course aims to meet the needs of both students pursuing formal education and individuals seeking to enhance their mathematical proficiency for personal or professional growth.

Why Should You Take This Online Course?

  • Expertly Designed and Delivered by Industry Experts: Developed and delivered by MIRAN FATTAH - B.S. in Mathematics & Geophysics
  • Immediate Recognition with an Instant E-Certificate: After finishing our online course, you will receive an instant E-certificate. This certification acknowledges your dedication and successful course completion, allowing you to demonstrate your newly gained knowledge and skills to potential employers, colleagues, or clients. The E-certificate validates your accomplishments immediately, raising your professional standing.
  • Convenient Online Learning Experience: Because our course is entirely online, you may learn at your own pace and convenience. The course materials are accessible from anywhere and anytime, making it ideal for people with hectic schedules. The curriculum is delivered via captivating videos and extensive reading materials, creating a dynamic and interactive learning experience.
  • Self-paced Learning for Maximum Progress: We recognise that everyone has various learning styles and time commitments. As a result, our online course provides self-paced study. You can work through the course materials independently, allowing for a more personalised learning experience. Our course supports your individual learning preferences, whether you like to immerse yourself in the information or take it step by step.
  • Laptop, tablet, and smartphone compatibility: Our online course is device-compatible to improve accessibility. Whether you choose a laptop, tablet, or smartphone, you may easily access and interact with the course contents. This adaptability allows you to learn on the go, incorporating your studies into your everyday routine and maximising your learning possibilities.

Career prospects after completing this course:

Completing the "Trigonometry Mastered" course can open up various career prospects across different industries, particularly those that require a strong foundation in mathematics and analytical skills. Here are some potential career paths for individuals who have mastered trigonometry:
  1. Engineering:Civil, mechanical, electrical, and aerospace engineers frequently use trigonometry in design, analysis, and problem-solving. A strong understanding of trigonometric principles is crucial for these roles.
  2. Physics and Astronomy:Professionals in physics and astronomy often rely on trigonometry for calculations related to angles, distances, and spatial relationships. This course can be beneficial for those pursuing a career in research or academia.
  3. Computer Graphics and Programming:Individuals involved in computer graphics, game development, and computer programming utilise trigonometric functions for tasks such as animation, 3D modeling, and simulations.
  4. Architecture:Architects use trigonometry in various aspects of design, including calculating angles, dimensions, and spatial relationships. This course can provide a solid foundation for those entering the field of architecture.
  5. Surveying and Geographic Information Systems (GIS):Surveyors and GIS professionals use trigonometry for measuring distances, angles, and elevations. A mastery of trigonometric concepts is essential for accurate data collection and analysis.
  6. Actuarial Science:Actuaries, who assess financial risks using mathematical and statistical models, may find the analytical skills developed in a trigonometry course valuable for certain calculations.
  7. Mathematics Education:Those interested in teaching mathematics at various levels can benefit from a deep understanding of trigonometry. This course provides a strong foundation for educators to convey complex concepts to students.
  8. Research and Development:Careers in research and development, especially in fields where mathematical modeling is essential, can benefit from a strong background in trigonometry. This includes roles in scientific research and innovation.
  9. Data Science and Analytics:Professionals in data science and analytics may encounter trigonometric concepts when dealing with spatial data or time-series analysis. A comprehensive understanding of trigonometry can enhance analytical skills in these roles.
  10. Mechatronics and Robotics:Engineers working in mechatronics and robotics use trigonometry in the design and control of robotic systems. A strong foundation in trigonometry is valuable for creating precise and efficient robotic movements.
Overall, the "Trigonometry Mastered" course equips individuals with skills that are applicable across a range of industries, making graduates well-prepared for diverse career opportunities that require a solid understanding of trigonometric principles and applications.

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Course Content

    • Structure of the Course 00:07:00
    • Number Sets 00:10:00
    • Graphing Tools 00:06:00
    • The Coordinate Plane 00:06:00
    • Introduction 00:01:00
    • The Unit Circle 00:08:00
    • Terminal Points 00:31:00
    • Reference Number 00:22:00
    • Trigonometric Functions 00:12:00
    • Evaluating Trigonometric Functions 00:14:00
    • Graph of Sine & Cosine 00:24:00
    • Sine & Cosine Graph Transformations 00:17:00
    • Tangent & Cotangent Graphs 00:20:00
    • Secant & Cosecant Graphs 00:25:00
    • Domain and Range of Sin, Cos and Tan 00:22:00
    • Examples 00:13:00
    • Domain and Range of Sec, Csc and Cot 00:13:00
    • Examples 00:16:00
    • Introduction 00:01:00
    • Angles 00:16:00
    • Standard Position 00:08:00
    • Trigonometric Ratios 00:15:00
    • Examples 00:13:00
    • Special Angles 00:24:00
    • Examples 00:05:00
    • Reference Angle 00:14:00
    • Evaluating Trig Functions and Points 00:18:00
    • Inverse Trigonometric Functions 00:12:00
    • The Law of Sines 00:13:00
    • The Law of Cosines 00:10:00
    • Area of a Triangle 00:08:00
    • Introduction 00:01:00
    • Fundamental Identities 00:10:00
    • Examples 00:18:00
    • Addition and Subtraction Formulas 00:15:00
    • Sums of Sines and Cosines 00:07:00
    • Double Angle Formulas 00:10:00
    • Half Angle Formulas 00:08:00
    • Formulas for Lowering Powers 00:05:00
    • Sum-to-Product Formulas 00:06:00
    • Product-to-Sum Formulas 00:05:00
    • Polar Coordinates 00:19:00
    • Polar and Rectangular Coordinates 00:11:00
    • Polar Equations 00:07:00
    • Graph of Polar Equations 00:18:00
    • Symmetry 00:17:00
    • Common Polar Curves 00:12:00
    • Graphing Complex Numbers 00:06:00
    • Modulus 00:04:00
    • Polar Form of Complex Numbers 00:09:00
    • Multiplication and Division 00:07:00
    • De Moivre’s Theorem 00:05:00
    • nth Roots of a Complex Number 00:21:00
    • Get Your Certificate & Transcript 00:00:00

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