# Trigonometry

Trigonometry has always been interesting to me, but A-level mathematics took it to a deeper level. I learned more about sine, cosine, and tangent functions, and how they relate to angles in right-angled triangles. In addition to basic triangle problems, I explored how these functions work on a unit circle, which helped me understand the periodic nature of trigonometric functions.

One of the most useful formulas I learned is the Pythagorean identity, which shows the relationship between sine and cosine: \sin^2(\theta) + \cos^2(\theta) = 1

This formula is helpful in solving more complicated trigonometric equations. Trigonometry has many applications, such as in physics, where it’s used to calculate angles and distances.