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常用三角函数值

时间:2026-03-20 11:43:30

正弦函数(sin)

sin0° = 0

sin15° ≈ 0.259

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

cos15° ≈ -0.759

cos30° = √3/2

cos45° = √2/2

cos60° = 1/2

cos75° = (√6 - √2)/4

cos90° = 0

cos105° = √2/2 * (1/2 - √3/2)

cos120° = -1/2

cos135° = -√2/2

cos150° = -√3/2

cos165° = -(√6 + √2)/4

cos180° = -1

正切函数(tan)

tan0° = 0

tan15° ≈ 0.268

tan30° = √3/3

tan45° = 1

tan60° = √3

tan75° = (1 + √3)/√2

tan90° 不存在

tan105° = 2 - √3

tan120° = -√3

tan135° = -1

tan150° = -√3/3

tan165° = -(2 + √3)/√2

tan180° 不存在

余切函数(cot)

cot0° = 不存在

cot15° = 不存在

cot30° = √3

cot45° = 1

cot60° = 1/√3

cot75° = 1 + √3

cot90° 不存在

cot105° = 1 + √3

cot120° = -1

cot135° = -1

cot150° = -√3

cot165° = -1 - √3

cot180° 不存在

正割函数(sec)

sec0° = 不存在

sec15° = 不存在

sec30° = 2/√3

sec45° = √2

sec60° = 2

sec75° = 2/√3

sec90° 不存在

sec105° = 2√3

sec120° = -√2

sec135° = -√2

sec150° = -2/√3

sec165° = -2√3

sec180° 不存在

余割函数(csc)

csc0° = 不存在

csc15° = 不存在

csc30° = 2√3

csc45° = √2

csc60° = 2

csc75° = 2√3

csc90