Create a visualization of all trigonometric functions in 2D, including sine, cosine, tangent, cotangent, arctangent, arcsine, arccosine, arccotangent, arcsecant, arccosecant, secant, and cosecant. They should be represented on a coordinate plane.

Project overview:
- Visualize a set of 2D graphs for the trigonometric functions: sine, cosine, tangent, cotangent, arctangent, arcsine, arccosine, arccotangent, arcsecant, arccosecant, secant, and cosecant.
- Each graph should be plotted over the range from -2π to 2π along the X-axis.

UI/UX design and flow:
- Utilize a clean, intuitive layout that accommodates all function graphs on a single coordinate plane.
- Different colors should be used for each function for easy distinction.
- Consider adding a legend to identify each function by color.

Core functionality and logic:
- Plot each trigonometric function accurately over the specified domain (-2π to 2π).
- Ensure the graph scales appropriately to display functions within standard trigonometric ranges.
- Incorporate interactive elements such as hover effects for additional information on each function's properties or values at specific points.

Best practices:
- Use high contrast colors for clear visibility of each function.
- Ensure the coordinate system is clearly marked and labeled, with axes and unit intervals displayed.
- Consider performance optimizations for efficient rendering of complex functions.
- Design graphs to be responsive and maintain clarity on various screen sizes.

Сделай визуализацию всех тригонометрических функций в 2d, таких как синус, косинус, тангенс, котангенс, арктангенс, арксинус, аркосинус, арккотангенс, арксеканс, арккосеканс, секанс, косеканс. Они должны изображаться на координатной плоскости

Q: Какой диапазон значений вы хотите использовать по оси X?
A: Например, от -2π до 2π

Q: Какой стиль визуализации вы предпочитаете?
A: Например, используйте разные цвета для каждой функции.