三角函数最值问题是高中数学的重点内容之一,也是高考命题的热点,在现实生活中具有广泛的应用.求解这类问题的方法灵活多变,与代数、几何联系紧密,涉及许多重要的数学思想方法.下面结合实例谈谈这类问题常用的解题策略.一、利用三角函数的有界性例1已知0θ2π,求y=(1+si1nθ) The problem of trigonometric function is one of the key contents of high school mathematics, and it is also a hot topic of college entrance examination propositions. It has a wide range of applications in real life. The methods for solving such problems are flexible, closely related to algebra and geometry, and involve many important issues. Mathematical thinking methods. The following examples will be used to discuss common problem solving strategies for this type of problem. First, using the boundedness of trigonometric functions Example 1 Known 0θ2π, find y=(1+si1nθ)