Question

1+tan75°/1-tan75°的值等于

答案是-√3求完整解题过程

Answer 1

1+tan75°/1-tan75° 其实=( tan45°+tan75°) / (1-tan45° * tan75° )
= 1+tan75°/1-tan75° (tan45°为1)
= tan (45° + 75°)
= tan (120°)
= --√3

Answer 2

1+tan75°/1-tan75°=tan(45度+75度）=tan120度=-根号3

Answer 3

1+tan75°/1-tan75°
=(sin75°+cos75°)/(cos75°-sin75°)
=(sin75°+sin15°)/(sin15°-sin75°)
=2sin45°cos30°/(-2sin30°cos45°)
=-cos30°/sin30°
=-(√3/2)/(1/2)
=-√3

Answer 4

(1+tan75°)/(1-tan75°)
= (tan45° + tan75°)/(1 - tan45° tan75°)
= tan(45° +75°)
=tan120°
=-tan60°
=-根号3