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- Introduction
- Previewing Each Section and Online Calculators
Become a Trigonometry Ace
Quick Facts
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Medium of instructions
English
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Mode of learning
Self study
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Mode of Delivery
Video and Text Based
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Course overview
Trigonometry has always been about triangles, as the names indicate. Trigonometry seems to be more explicitly concerned with right-angled triangles in which one of the constituent angles is 90 degrees. Trigonometry is a mathematical system for calculating incomplete or undetermined side lengths or angles in triangles. Ethan Williams, a Professor of Mathematics, designed the Become a Trigonometry Ace certification course, which is available on Udemy.
Become a Trigonometry Ace online training contains 32.5 hours of comprehensive resources and 60 offline learning materials for students who desire to grasp all aspects of trigonometry, both fundamental and advanced. Become a Trigonometry Ace online course covers a variety of mathematical topics related to trigonometry, including degree, radian, angles, circles, graphs, planes, polar coordinates, cartesian coordinates, trigonometric functions, and trigonometric identities.
The highlights
- Certificate of completion
- Self-paced course
- 32.5 hours of pre-recorded video content
- 60 downloadable resources
Program offerings
- Online course
- Learning resources. 30-day money-back guarantee
- Unlimited access
- Accessible on mobile devices and tv
Course and certificate fees
Fees information
₹ 2,499
certificate availability
Yes
certificate providing authority
Udemy
Who it is for
What you will learn
Mathematical skill
After completing the Become a Trigonometry Ace online certification, students will gain a thorough understanding of the fundamentals of trigonometry as well as be introduced to topics such as angles, radians, degrees, and planes. Students will learn about the Pythagorean theorem, Heron's formula, the law of sines, the law of cosines, and De MOivre's formula, among other trigonometric theories. Students will learn about various trigonometric functions, inverse trigonometric functions, trigonometric identities, Pythagorean identities, polar coordinates, cartesian coordinates, polar graphs, and vectors. Students will also learn how to solve problems involving a circle, a unit circle, the length of an arc, the area of a circle, linear velocity, and angular velocity.
The syllabus
Introduction
Angles
- Welcome to Section 1: Angles
- xy-Plane and Triangles Review Lecture
- xy-Plane and Triangle Quiz Solutions
- Angles and the xy-Plane Lecture
- Angles and the xy-Plane Quiz Solutions
- Radians and the xy-Plane Lecture
- Radians and the xy-Plane Quiz Solutions
- Coterminal Angles Lecture
- Coterminal Angles Quiz Solutions
- Reference Angles Lecture
- Reference Angles Quiz Solutions
- Applications of Radians
- Radians Applications Quiz Solutions
- Angles Summary
The Unit Circle and Six Trig Functions
- Welcome to Section 2: The Unit Circle and Six Trig Functions
- Common Angles on the Unit Circle Lecture
- Common Angles on the Unit Circle Quiz Solutions
- Sine and Cosine (and Pythagorean Identity) Lecture
- Sine and Cosine (and Pythagorean Identity) Quiz Solutions
- Sine and Cosine on Angles Outside 0 to 360 Degrees Lecture
- Sine and Cosine on Angles Outside 0 to 360 Degrees Quiz Solutions
- Other Four Trig Functions and Evaluating Lecture
- Other Four Trig Functions and Evaluating Quiz Solutions
- Evaluating Trig Functions at Real Numbers Lecture
- Evaluating Trig Functions at Real Numbers Quiz Solutions
- The Unit Circle and Six Trig Functions Summary
Right Triangle Trigonometry
- Welcome to Section 3: Right Triangle Trigonometry
- Right Triangle and the Pythagorean Theorem Lecture
- Right Triangle and the Pythagorean Theorem Quiz Solutions
- SOH CAH TOA Lecture
- SOH CAH TOA Quiz Solutions
- The Other Three Lecture
- The Other Three Quiz Solutions
- Word Problems Using Right Triangles Lecture
- Word Problems Using Right Triangles Quiz Solutions
- Right Triangle Trigonometry Summary
Trig Graphs
- Welcome to Section 4: Trig Graphs
- Graphs of Sine and Cosine with Amplitude and Midline Lecture
- Graphs of Sine and Cosine with Amplitude and Midline Quiz Solutions
- Period and Horizontal (Phase) Shift Lecture
- Period and Horizontal (Phase) Shift Quiz Solutions
- Putting It All Together Lecture
- Putting It All Together Quiz Solutions
- Determining Sine or Cosine Equation From Graph Lecture
- Determining Sine or Cosine Equation From Graph Quiz Solutions
- Graphs of Secant and Cosecant Lecture
- Graphs of Secant and Cosecant Quiz Solutions
- Graphs of Tangent and Cotangent Lecture
- Graphs of Tangent and Cotangent Quiz Solutions
- Trig Graphs Summary
Inverse Trig Functions
- Welcome to Section 5: Inverse Trig Functions
- One-to-One and Inverse Trig Functions Lecture
- One-to-One and Inverse Trig Functions Quiz Solutions
- Evaluating Inverse Trig Functions Lecture
- Evaluating Inverse Trig Functions Quiz Solutions
- Solving Right Triangles with Inverse Trig Lecture
- Solving Right Triangles with Inverse Trig Quiz Solutions
- Inverse Trig Functions Summary
Solving Trig Equations
- Welcome to Section 6: Solving Trig Equations
- Finding All Angles Coterminal Lecture
- Finding All Angles Coterminal Quiz Solutions
- Solving Basic Sin, Cos, and Tan Equations Lecture Part 1
- Solving Basic Sin, Cos, and Tan Equations Lecture Part 2
- Solving Basic Sin, Cos, and Tan Equations Quiz Solutions
- Solving Trig Equations with Different Period Lecture
- Solving Trig Equations with Different Period Quiz Solutions
- Converting Sec, Csc, Cot Equations Lecture
- Converting Sec, Csc, Cot Equations Quiz Solutions
- Word Problems Involving Trig Equations Lecture Part 1
- Word Problems Involving Trig Equations Lecture Part 2
- Word Problems Involving Trig Equations Quiz Solutions
- Solving Trig Equations Summary
Non-Right Triangle Trigonometry
- Welcome to Section 7: Non-Right Triangle Trigonometry
- Law of Sines Lecture
- Law of Sines Quiz Solutions
- Law of Cosines Lecture
- Law of Cosines Quiz Solutions
- Applications Using Law of Sines and Cosines Lecture
- Applications Using Law of Sines and Cosines Quiz Solutions
- Heron's Formula Lecture
- Heron's Formula Quiz Solutions
- Non-Right Triangle Trigonometry Summary
Trig Identities
- Welcome to Section 8: Trig Identities
- Pythagorean Identities Lecture
- Pythagorean Identities Quiz Solutions
- Sum and Difference Formulas Lectures
- Sum and Difference Formulas Quiz Solutions
- Double Angle Formulas Lecture
- Double Angle Formulas Quiz Solutions
- Half Angle (Power Reducing) Formulas Lecture
- Half Angle (Power Reducing) Formulas Quiz Solutions
- Cofunction and Even-Odd Identities Lecture
- Cofunction and Even-Odd Identities Quiz Solutions
- Sum-to-Product and Product-to-Sum Identities Lecture
- Sum-to-Product and Product-to-Sum Identities Quiz Solutions
- Proving Trig Identities Lecture
- Trig Identities Summary
Section 10: Vectors
- Welcome to Section 9: Vectors
- Introduction to Vectors Lecture
- Introduction to Vectors Quiz Solutions
- Vector Arithmetic Lecture
- Vector Arithmetic Quiz Solutions
- The Dot Product and Angle Between Two Vectors Lecture
- The Dot Product and Angle Between Two Vectors Quiz Solutions
- Vector Applications Lecture
- Vector Applications Quiz Solutions
- Vectors Summary
Section 11: Polar Coordinates
- Welcome to Section 10: Polar Coordinates
- Introduction to Polar Coordinates Lecture
- Introduction to Polar Coordinates Quiz Solutions
- Polar Graphs Lecture Part 1
- Polar Graphs Lecture Part 2
- Polar Graphs Lecture Part 3
- Polar Graphs Quiz Solutions
- Converting Between Polar and Cartesian Coordinates Lecture Part 1
- Converting Between Polar and Cartesian Coordinates Lecture Part 2
- Converting Between Polar and Cartesian Coordinates Quiz Solutions
- Complex Numbers Lecture
- Complex Numbers Quiz Solutions
- Powers of Complex Numbers (De Moivre's Formula) Lecture Part 1
- Powers of Complex Numbers (De Moivre's Formula) Lecture Part 2
- Powers of Complex Numbers (De Moivre's Formula) Quiz Solutions
- Roots of Complex Numbers Lecture
- Roots of Complex Numbers Quiz Solutions
- Polar Coordinates Summary
Final Exam
- Final Exam Introduction
- Final Exam Solutions Part 1
- Final Exam Solutions Part 2
- Final Exam Solutions Part 3
- Final Exam Solutions Part 4
- Final Exam Solutions Part 5
Instructors
Mr Ethan Williams
Professor
Freelancer
Other Bachelors, Ph.D
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