Circle Coordinate Calculator vs Positional Encoding

Circle Coordinate Calculator is a powerful trigonometry tool that helps you instantly find unit circle coordinates, sine and cosine values, slopes, and line equations from any angle. Perfect for students, teachers, engineers, and anyone learning trigonometry, this app visualizes the unit circle and calculates results in real time with an interactive canvas. Unit Circle Calculator Enter any angle and instantly calculate: • sin(θ) and cos(θ) coordinates • x and y values on the unit circle • Slope (m) of the line from origin • Equation of the line (y = mx) • Coordinates at different distances from the origin All results update instantly and can be copied with one tap. Live Interactive Visualization Understand trigonometry visually with a dynamic canvas. • Real-time unit circle rendering • Drag the point to change the angle • Pinch to zoom and pan the canvas • See angles, coordinates, and slopes update instantly • Optional labels and grid display Perfect for learning how sine and cosine change as the angle moves around the circle. Step-by-Step Math Solutions Enable step-by-step explanations to see how the results are calculated. Helpful for: • Homework • Exam preparation • Understanding trigonometric formulas Reference Guide Includes a built-in math reference explaining: • Unit Circle theory • Sine and cosine relationships • Line slope formula • Equation of a straight line Clean and Modern Interface • Light Mode and Dark Mode support • Fast and simple interface • Works great on iPhone and iPad The unit circle is a circle centered at the origin with a radius of 1 unit. It is represented by the equation: x² + y² = 1 The values of x and y are determined using trigonometric functions: x = sin θ y = cos θ Therefore, the values of sin θ and cos θ must be such that the sum of their squares equals 1. The Slope (m): m = change in y / change in x Equation of a straight line: y = mx Thanks for your support and do visit nitrio.com for more apps for your iOS devices.

This is an educational App for readers interested in the sin/cos encoding of the token positions in large language models (LLM). Play with this App to acquire a deeper understanding of the positional encoder as it was described in the famous *Attention is All You Need* paper. In particular the App shows how the correlation between two positional vectors depends only on the distance between the corresponding two integer position.