三角比证明(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2=(tanβ)^2-(tanα)^2

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/14 06:26:08
三角比证明(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2=(tanβ)^2-(tanα)^2
x){IOyٌ>s3z$1&0OCȁTBl54U$[-v6t^i RTm b&TĢa"@I&[ \CB#/.H̳z!P m٧ sPIO7N}i끆 KD )s

三角比证明(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2=(tanβ)^2-(tanα)^2
三角比证明
(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2=(tanβ)^2-(tanα)^2

三角比证明(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2=(tanβ)^2-(tanα)^2
左边=[(tana)^2+1](tanb)^2-(tana)^2[(tanb)^2+1]
=(tana)^2(tanb)^2+(tanb)^2-(tana)^2(tanb)^2-(tana)^2
=(tanb)^2-(tana)^2
=右边

(secα)^2*(tanβ)^2-(tanα)^2*(secβ)^2
=(1+tan^2 α)*(tan β)^2-(tan α )^2*(1+tan^2 β)
(展开即可)
=(tanβ)^2-(tanα)^2