In this video we will learn WHERE the TRIGONOMETRIC RATIOS COME FROM: sine, cosine, tangent, cotangent, secant, and cosecant. If we find the ratios by comparing the sides of a right triangle with a fixed angle, we can realize that these ratios are CONSTANT. From this observation we can DEFINE the trigonometric operators to refer to each of the 6 possible comparisons, we also see an example of how to use them and an application problem. #trigonometry #trigonometricratios The creation of these videos takes me quite a bit of time. If you want to help me continue creating content on YouTube, I invite you to support me on PATREON and ACCESS EXCLUSIVE BENEFITS: / bluedot96 #calculation #multivariablecalculation #optimization CHAPTERS: 00:00 Introduction 00:44 What is PI? 02:59 What is a RIGHT TRIANGLE? 03:27 Finding the RATIO between the SIDES OF A RIGHT TRIANGLE 07:04 We can get 6 RATIOS IN TOTAL 08:00 TRIGONOMETRIC OPERATORS 09:08 What is a TRIGONOMETRIC RATIO? 09:57 The hypotenuse, opposite and adjacent legs 11:42 Definition of TRIGONOMETRIC RATIOS 15:07 SohCahToa 16:51 Trigonometric ratios for the 60° angle 18:29 Calculating distances using TRIGONOMETRIC RATIOS 20:13 Farewell and thanks Creating these videos takes me quite a bit of time. If you want to help me continue creating content on YouTube, I invite you to support me on PATREON and ACCESS EXCLUSIVE BENEFITS: / bluedot96n Follow me on Twitter: / bluedot96 Follow me on Facebook: / bluedot1196 Follow me on Instagram: / pauloch96 I RECOMMEND THESE VIDEOS: WHAT IS THE DERIVATIVE?: • The DERIVATIVE changed EVERYTHING ???? WHAT is... WHAT IS THE INTEGRAL?: • What is the INTEGRAL? MEANING of... THE INTEGRAL FROM SCRATCH: • This THEOREM CHANGED EVERYTHING ???? WHAT is... DIFFERENTIATION: • This IDEA OF NEWTON FOUNDED the BASIS of... RULES OF DERIVATION: • The UNKNOWN side of the DERIVATIVE ????... WHAT IS CALCULUS?: • Why did CALCULUS CHANGED EVERYTHING?... WHAT IS A LIMIT?: • A FANTASTIC INTRODUCTION to LIMITS... FORMAL DEFINITION OF LIMIT EXPLAINED IN DETAIL: • WHAT is the LIMIT of a FUNCTION? ▶OF... PROPERTIES OF THE LIMIT: • WHAT IS BEHIND THE FAMOUS PROPERTIES... You can support the making of more videos of this style by being a MEMBER OF THE CHANNEL, with your help I will be able to make more frequent videos until I complete a playlist with university mathematics from the most basic to the most complex through animations! **************************************************************************************************** The animations in this video were made with Manim (Mathematical animation), a library for Python created by Grant Sanderson (3Blue1Brown). Personally, I find it a very useful tool to better explain many concepts visually. If you are interested, here is the link to the Manim library for Python: https://github.com/3b1b/manim VIDEOS: PEXELS Without further ado, thank you for your attention and see you in the next video