解由tan(π/4-α)=3
得(tanπ/4-tanα)/(1+tanπ/4tanα）=3
即(1-tanα)/(1+tanα）=3
即1-tana=3+3tana
即4tana=-2
即tana=-1/2
即tan2α
=2tana/(1-tan^2a)
=2×（-1/2)/[1-(-1/2)^2]
=-1/(3/4)
=-4/3那sin15°cos75°-cos15°sin105°該怎么算sin15°cos75°-cos15°sin105°
=sin15°cos75°-cos15°sin75°
=sin(15°-75°)
=-sin60°
=-√3/2.