求值:(sin75°-cos75°)/(sin75°+cos75°)

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求值:(sin75°-cos75°)/(sin75°+cos75°)求值:(sin75°-cos75°)/(sin75°+cos75°)求值:(sin75°-cos75°)/(sin75°+cos75

求值:(sin75°-cos75°)/(sin75°+cos75°)
求值:(sin75°-cos75°)/(sin75°+cos75°)

求值:(sin75°-cos75°)/(sin75°+cos75°)
sin75=(√6+√2)/4,cos75=(√6-√2)/4
原式=[(√6+√2)/4-(√6-√2)/4]/[(√6+√2)/4+(√6-√2)/4]=√3/3

√3/3