(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2
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(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2(sin(a+b
(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2
(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2
(sin(a+b)sin(a-b)\sina^2cosb^2=1-(tanb\tana)^2
从右向左证明:1-(tanb\tana)^2 =1-sinb^2cosa^2/sina^2cosb^2=(sina^2cosb^2-sinb^2cosa^2)/sina^2cosb^2=[(sinacosb+sinbcosa)(sinacosb-sinbcosa)]/sina^2cosb^2=[(sin(a+b)sin(a-b)]\sina^2cosb^2
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