高中常见三角函数值

高中常见三角函数值

高中数学中常用的三角函数值包括:

正弦函数(sin):

sin0° = 0

sin15° = (√6 - √2)/4

sin30° = 1/2

sin45° = √2/2

sin60° = √3/2

sin75° = (√6 + √2)/2

sin90° = 1

sin105° = √2/2 * (√3/2 + 1/2)

sin120° = √3/2

sin135° = √2/2

sin150° = 1/2

sin165° = (√6 - √2)/4

sin180° = 0

sin270° = -1

余弦函数(cos):

cos0° = 1

cos30° = √3/2

cos45° = √2/2

cos60° = 1/2

cos90° = 0

正切函数(tan):

tan0° = 0

tan30° = √3/3

tan45° = 1

tan60° = √3

tan90° 无定义

余切函数(cot):

cot0° = 无定义

cot30° = √3

cot45° = 1

cot60° = √3/3

这些值在解决与角度相关的几何、物理问题时非常有用。