1. Definition and properties of trigonometric function: The definition of trigonometric function is based on the relationship between coordinates and angles of points on the unit circle, and it is necessary to understand the conversion relationship between radian system and angle system. At the same time, trigonometric functions also have periodicity, parity, monotonicity and other properties, which need to be mastered skillfully.
2. Image and transformation of trigonometric function: The image of trigonometric function is a curve, which needs to be able to accurately draw the images of sine function, cosine function and tangent function, and get the images of other trigonometric functions through translation, expansion and other transformations.
3. Sum-difference product formula of trigonometric function: Sum-difference product formula of trigonometric function is an important tool to solve trigonometric function equation, which needs to be mastered skillfully. These formulas include sum and difference formula, double angle formula, half angle formula and so on.
4. Integral and derivative of trigonometric function: Integral and derivative of trigonometric function are important contents in calculus. You need to know the calculation methods of indefinite integral and definite integral of trigonometric function and the solution method of derivative of trigonometric function.
5. Application of trigonometric functions: trigonometric functions are widely used in practical problems, such as physics, engineering, economy and other fields. We need to be able to apply the knowledge of trigonometric functions to practical problems and solve practical problems.
The above are some difficult knowledge points in the trigonometric function of mathematics in senior high school, which need to be mastered through a lot of practice and understanding.