sin60°×sin45°+sin²15°+sin²75°-tan10°×cos10°=

sin60°×sin45°+sin²15°+sin²75°-tan10°×cos10°=
sin60°×sin45°+sin²15°+sin²75°-tan10°×cos10°=

sin60°×sin45°+sin²15°+sin²75°-tan10°×cos10°=
sin60°×sin45°+sin²15°+sin²75°-tan10°×cos10°
=根号3/2*根号2/2+sin²15°+cos²15°-sin10°/cos10°×cos10°
=根号6/4+1-sin10°（sin10°只能查表了,但是我觉得题目是不是应该是tan10°×cot10°呢,就不用查表了）

=一又四分之根六-sin10°