Trigonometry

Study of triangle relationships and periodic functions using angles, trigonometric ratios, and their applications.

The Pythagorean theorem relates the three sides of a right triangle: a² + b² = c².

Angles of elevation (looking up) and depression (looking down) are measured from the horizontal. Combined with trigonometry, they allow us to find heights, distances, and positions in the real world.

The three primary trigonometric ratios: sine, cosine, and tangent in a right triangle.

SOHCAHTOA is a mnemonic for the three trigonometric ratios in a right-angled triangle. It is used to find missing side lengths when an angle and one side are known.

When you know two sides of a right-angled triangle, you can use the inverse trigonometric functions (arcsin, arccos, arctan) to find a missing angle.