所需公式:cos(α+β)=cosαcosβ-sinαsinβ
cos(α-β)=cosαcosβ+sinαsinβ
原式=[(cosa*cosb-sina*sinb)*(cosa*cosb+sina*sinb)]/[cos^2a*cos^2b]
=[cos^2a*cos^2b-sin^2a*sin^2b]/[cos^2a*cos^2b] (由上式化简得)
=1-tan^2a*cot^2b
=1-2^2
=-3
所需公式:cos(α+β)=cosαcosβ-sinαsinβ
cos(α-β)=cosαcosβ+sinαsinβ
原式=[(cosa*cosb-sina*sinb)*(cosa*cosb+sina*sinb)]/[cos^2a*cos^2b]
=[cos^2a*cos^2b-sin^2a*sin^2b]/[cos^2a*cos^2b] (由上式化简得)
=1-tan^2a*cot^2b
=1-2^2
=-3