sin15°-cos15°/sin15°+cos15°的值?

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sin15°-cos15°/sin15°+cos15°的值?

sin15°-cos15°/sin15°+cos15°的值?
sin15°-cos15°/sin15°+cos15°的值?

sin15°-cos15°/sin15°+cos15°的值?
(sin15°-cos15)°/(sin15°+cos15°)
=(tan15°-1)/(tan15°+1)
=(tan15°-tan45°)/(tan45°tan15°+1)
=tan(15°-45°)
=-tan30°
=-√(3)/3

sin15°-cos15°/sin15°+cos15°
=sin15°cos45°-cos15°sin45°/sin15°sin45°+cos15°cos45°
=sin(15-45°)/cos(15-45)
=-tan30°
=-根号3/3