三角函数是高中数学的重要内容,它蕴涵着丰富的数学思想方法.灵活地借助数学思想方法解题,往往可以避免复杂的运算,优化解题过程,降低解题难度.本文通过实例介绍几种常用的数学思想方法.一、方程的思想例1已知sinθ+cosθ=15,θ∈(0,π),则cotθ=.解析:由sinθ+cosθ=15平方得s Trigonometric function is an important content of high school mathematics, it contains a wealth of mathematical ideas and methods. Flexible use of mathematical thinking methods to solve problems, you can often avoid complex calculations, optimize the problem-solving process, reduce the difficulty of solving problems. This article introduces several examples Commonly used mathematical thinking methods. First, the equation of thought Example 1 is known sin θ + cos θ = 15, θ ∈ (0, π), then cot θ =. Analysis: by sin θ + cos θ = 15 squared s