三角函数诱导公式全解析：常用公式及不同角的三角函数关系

三角函数感应公式：所谓的三角函数感应公式是将角度n·π/2±α的三角学函数转换为角α； : 1: α is any angle, and the ​​of the same with the same angle at the end side are equal: sin2kπ+α=sinα k∈Z cos2kπ+α=cosα k∈Z tan2kπ+α=tanα k∈Z cot2kπ+α=cotαk∈Z 2: α is any angle,the the value of α：sinπ+α=sinαcosπ+α= －COSαtanπ+α=tanαcotπ+α=cotα=cotα=cotα=cotα=cotα=cotα=cotα=cotα=cotα公式3：任何角度α和-α= sinα= sin的三角函数之间的关系 4: Using two and three三角函数诱导公式, we can the the ​​of π-α and α: sinπ-α= sinα cosπ-α=-cosα tanπ-α=-tanα cotπ-α=-tanα cotπ-α=-cotα 5: Using one and three, we can the the ​​of 2π-α and α: sin2π-α=-sinαcos2π-α=-tanαcot2π-α=-tanαcot2π-α=-cotα公式6：π/2±α和α的三角学函数值之间的关系：sinπ/2+α=cosαsinπ/2+α=π/2+α= -sin = -sin = -sin cosπ/2-α=sinα tanπ/2+α=-cotα cosπ/2+α=-cotα cosπ/2-α=sinα tanπ/2+α=-cotα tanπ/2－α=cotα cotπ/2+α=－tanα cotπ/2－α=tanα : 3π/2 ± The the value of α and α：sin3π/2+α= －COSαsin3π/2－α = －COSαcos3π/2+α=sinαcos3π/2－α =sinαcos3π/2－α = －Sinα = －Sinα