Positive angle refers to the angle formed by counterclockwise rotation, and its degree is usually greater than 0 degrees and less than 360 degrees. Positive angle is usually used to indicate the angle of clockwise rotation. In trigonometric function, the definition of positive angle means that the included angle between the terminal edge of an angle and the positive semi-axis of X axis is greater than or equal to 0 degrees and less than 90 degrees. Positive angles have many applications in mathematics. For example, in trigonometric functions, positive angle is the most commonly used angle form.

Application of Positive Angle in Mathematics

1, angle representation in coordinate system: In rectangular coordinate system, the angle is usually represented by the radian system of positive angle, so as to calculate the rotation angle and direction of the graph.

2. Definition of trigonometric function: The tangent, sine and cosine of trigonometric function are all derived from the definition of positive angle, so positive angle is the basis of trigonometric function theory.

3. Angular representation in polar coordinate system: In polar coordinate system, positive angle can also be used to represent the size of polar angle, so as to calculate the rotation angle and direction of graphics in polar coordinate system.

4. Curvature system of a circle: In the geometry of a circle, the angle corresponding to a complete circle is 360 degrees or 2π radians. Therefore, the conversion between angle and radian is based on positive angle.

5. Angular representation in physics: In physics, positive angles are usually used to represent angular velocity and angular acceleration of motion, such as the angle of rotating objects in a certain period of time, or the magnitude and direction of angular velocity and angular acceleration.