In order to improve the learning efficiency of trigonometric function, high school students need to pay attention to the learning of basic knowledge, so as to build a complete knowledge system of trigonometric function and lay a solid foundation for learning trigonometric function in the future.

First of all, senior high school students need to pay attention to the study and understanding of concepts. If they have some knowledge of sine and cosine in junior high school, they will be more exposed to trigonometric function knowledge in senior high school. High school students don't need to spend a lot of time to understand the concept of trigonometric function, but they need to spend more time to understand the theorem of trigonometric function.

At the same time, there are many concepts in trigonometric functions, and the differences between them are quite large. However, after careful analysis and observation, we can find that there are great connections between many concepts, such as the period of sine function image and cosine function image is 2? Although the images are different, the cycle is the same. High school students should be good at exploring the memory methods of trigonometric function concepts and theorems, and improve the learning quality.

2. Pay attention to summary and master learning methods.

Because there are many knowledge points involved in trigonometric function of high school mathematics, high school students should pay attention to summing up in the learning process in order to master the corresponding learning methods.

There are many formulas for trigonometric functions, which are also chaotic. Many high school students don't know how to start. However, a careful analysis of these trigonometric functions will reveal that some basic formulas that need to be mastered are closely related, such as arbitrary angle transformation. But after fully understanding the inductive formula, the calculation from any angle can be converted into 0? ~90? The trigonometric function of the angle shows that only by paying attention to summary and induction in the learning process can we get rid of the complicated learning state, simplify the complex, turn the abstract into intuition and have clear problem-solving ideas.

In addition, high school students need to master some learning methods, such as using comparison method in the learning process of trigonometric function knowledge. By mastering and understanding the visualization, periodicity, parity, range and definition of functions, they can master the basic properties of trigonometric functions and compare them with other functions, so as to deepen the similarities and differences between functions, understand and consolidate them and deepen their memory of trigonometric functions [2]. High school students need to master the images in the three basic trigonometric functions before they can fully understand the properties of these trigonometric functions and understand y=sinx and y=Asin (? x+？ ), fully understand a,? 、? Then from the definition of trigonometric function, the monotone interval, maximum, symbol, definition range, value range, parity, periodicity and so on in trigonometric function are deduced.

Finally, there is the transformation between formulas of trigonometric functions. Because there are many formulas of trigonometric functions, it is easy to confuse these formulas. Therefore, senior high school students need to make clear the structural characteristics of each formula and master the internal relations and changing laws between the formulas.

3. Grasp the law of solving problems and improve the efficiency of solving problems.

Many high school students memorize some trigonometric function concepts and formulas, and in the process of solving problems? Copy mechanically? This will not only not improve the efficiency of solving problems, but also lead to confusion in solving problems, which is not conducive to high school students' ideal college entrance examination results. Therefore, high school students need to master the law of solving problems, gradually improve the efficiency of self-solving, and explore the skills and methods of solving problems in the process of solving problems [3].

The trigonometric function test site of the college entrance examination is relatively fixed. Common trigonometric function solving methods include exclusion method, undetermined coefficient method, special value method, method of substitution method, combination of numbers and shapes, etc. High school students need to choose different methods to solve problems in combination with different questions. Many high school students tend to ignore some restrictions in the process of solving problems, such as? Domain name? This is a place that is easily overlooked, but it is also the key point that affects the overall problem-solving quality, which needs attention in the daily problem-solving process.

At the same time, high school students need to pay attention to multiple solutions when solving trigonometric function problems, such as 5cosx+ 12sinx= 13, and find tanx. This trigonometric function can be solved by constructing equations. Tanx= can be obtained by eliminating cosx by 5cosx+ 12sinx= 13 and sin2x+cos2x= 1. At the same time, we can also make tanx=t by algebraic method of substitution, so that we can get the answer more intuitively; The answer can also be obtained by trigonometric formula method, but the process of solving the problem is more complicated. High school students need to master every problem-solving method, which can virtually improve the core literacy ability of mathematics.

4. Adhere to the college entrance examination outline and master review skills.

People's memory is limited, and the knowledge they have learned will be forgotten if they are not consolidated and reviewed. Therefore, high school students need to pay attention to the review of trigonometric functions in high school mathematics, and adhere to the outline of college entrance examination in the review process, so as to master the review skills and improve the review efficiency.

In the process of trigonometric function review, we should not introduce some trigonometric function topics that are too difficult, too skillful and too complicated to calculate, but pay attention to the review of basic knowledge, and then gradually improve the review difficulty after fully mastering the basic knowledge of trigonometric function. First of all, high school students need to keep in mind some trigonometric function values of special angles, such as 30, 45, 60 and so on. Secondly, we need to keep in mind some basic formulas of trigonometric functions, which can be deduced from each other. Only by mastering the basic formula of each trigonometric function can we improve the efficiency and accuracy of solving problems.

Finally, high school students need to fully grasp the nature, images, concepts and basic transformations of trigonometric functions, and use methods such as verification, combination of numbers and shapes, method of substitution and parametric equation to solve problems in the process of solving problems, which can not only consolidate basic knowledge, but also cultivate their excellent divergent thinking ability and logical thinking ability.

In short, high school students need to master the corresponding learning methods and problem-solving skills in the process of learning trigonometric functions in high school, and improve their mathematical thinking ability while learning knowledge, thus improving their learning quality.