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Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems involving right triangles and is important in fields such as physics, engineering, and navigation.
A trigonometric function is a mathematical function that relates the angles of a triangle to the lengths of its sides. Examples of trigonometric functions include sine, cosine, and tangent.
A trigonometric picture, also known as a unit circle, is used to visualize the relationships between the angles and sides of a right triangle. It helps to understand the concepts and applications of trigonometry in a visual way.
In a trigonometric picture, the angle is represented by a point on the unit circle and the radius of the circle represents the hypotenuse of a right triangle. The coordinates of the point correspond to the values of the trigonometric functions for that angle.
Trigonometry is used in various real-life applications, such as architecture, surveying, navigation, and engineering. It helps to solve problems involving angles and distances, and is also used in fields such as physics, astronomy, and geography.