Why is sin(-x) = -sin(x)? The Odd Function Property Explained

Have you ever wondered why the sine of a negative angle equals the negative sine of the angle? 🤔

In this video, we visualize the 'Odd Function' property of trigonometry using the Unit Circle. We break down the symmetry step-by-step to show exactly why sin(-θ) = -sin(θ).

Whether you are a trigonometry beginner or just need a quick refresher on antisymmetry, this visual guide will make the concept stick! 💡

Topics covered:
✅ Definition of Odd Functions
✅ Rotational Symmetry about the Origin
✅ Unit Circle definitions of Sine
✅ Visual Proof of the Negative Angle Identity

#trigonometry #mathhelp #visualmath #unitcircle #precalculus #maths #education

Chapters:
00:00 - Odd Function Property: sin(-θ) = -sin(θ)
00:16 - What is an Odd Function?
00:36 - Visualizing Origin Symmetry
00:55 - The Unit Circle
01:11 - Positive Angle (θ)
01:31 - Negative Angle (-θ)
01:49 - Comparing the Coordinates
02:08 - Putting it Together
02:27 - Seen on the Sine Wave
02:43 - Summary
03:00 - Outro

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