How Trigonometric Ratios Change With Angle
An animation in Bengali that builds sine, cosine, and tangent from a right triangle inscribed in a rotating radius, showing how opposite, adjacent, and hypotenuse lengths change as the angle increases. It tracks the resulting ratio values on a live graph, highlighting key angles like 0°, 30°, 45°, 60°, and 90°. Designed for HSC second-year students learning how trigonometric formulae are derived and behave dynamically rather than memorized as static values.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Show how the trigonometric ratios and their formulae are getting developed. Also show the change in values and ratios according to the change of angle. Script kept in Bengali Audience: Hsc 2st year studebt
Make the next one in this series
- Show how the unit circle extends trigonometric ratios beyond 0° to 360°
- Animate the derivation of trigonometric identities like sin²θ + cos²θ = 1
- Demonstrate graphs of sine, cosine, and tangent functions and their periodicity
