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。