Visualization of Trigonometric Derivatives
SAT Score Range
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1 session
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JN
WG
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🔥 8 spots left!
About
Most students learn to differentiate trigonometric functions by memorizing formulas. But what do these derivatives really mean? Why does the derivative of sin(x) become cos(x)? How can we see it happen?
In this course, we take a visual and conceptual journey through the derivatives of the core trigonometric functions—sine, cosine, tangent, and beyond. Using animations, geometric interpretations, unit circle dynamics, and slope-based thinking, we uncover the why behind each rule, not just the how.
By the end of the course, you’ll be able to:
1. Visually interpret the meaning of sin’(x), cos’(x), and tan’(x)
2. Understand the rate of change of trig functions using the unit circle
Whether you’re preparing for calculus, revising for exams, or just curious about the deeper meaning of trigonometry, this course will help you build strong, intuitive foundations that go far beyond rote memorization.
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You are free to attend/skip whichever sessions you want.
SESSION 1
16
Aug
SESSION 1
Differentiation: definition and basic derivative rules
Differentiation: definition and basic derivative rules
Sat 12:30 AM - 1:30 AM UTCAug 16, 12:30 AM - 1:30 AM UTC
In this session, we explore how the sine and cosine functions change—visually. Using the unit circle, we trace a point moving around the circle and observe how the x and y coordinates evolve. By examining the slopes of these curves in real time, we discover why the derivative of sin(x) is cos(x), and why the derivative of cos(x) is –sin(x). This session builds deep intuition by connecting circular motion with wave behavior and calculus.