(sin15°-cos15°)/(sin15°+cos15°)=

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(sin15°-cos15°)/(sin15°+cos15°)=

(sin15°-cos15°)/(sin15°+cos15°)=
(sin15°-cos15°)/(sin15°+cos15°)=

(sin15°-cos15°)/(sin15°+cos15°)=
(sin15°-cos15°)/(sin15°+cos15°)【分子分母同乘上sin15°+cos15°】
=【(sin15)^2-(cos15)^2】/【1+2sin15cos15】
=-cos30/[1+sin30]
=-(根号3/2)/(1+1/2)
=-根号3 /3

原式=sin²15-cos²15
=-(cos²15-sin²15)
=-cos(2×15)
=-cos30
=-√3/2