(1-tan²75º)/tan75º=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/03 03:35:34
(1-tan²75º)/tan75º=?
x){P$1OT-(%N} kkoTOZ;L~OYcóY|V Di뚧{VhW r*Dؚ G,gan M,nk"eHWk@jz` xѺ@cXѣY6yv0s`!edn|d>C5󋁂Zř@A}  X ,sPɡFP&H3

(1-tan²75º)/tan75º=?
(1-tan²75º)/tan75º=?

(1-tan²75º)/tan75º=?
这个用到正弦的这个公式
tan(x+y)=tanx+tany/(1-tanx tany)
1-tan^2(75)]/tan75
=2[1-tan^2(75)]/2tan75
=1/{(2tan75)/2[1-tan^2(75)]}
=2/{(2tan75)/[1-tan^2(75)]}
=2/tan150
=2/[-(tan30)]
=-2√3

(1-tan275o)/tan75o
=sec275/tan75
=1/(cos275*sin75/cos75)
=1/sin75cos75
=2/2sin75cos75
=2/sin150
=2/(1/2)
=4