cos(-585°)/sin495°+sin(-570°)的值是老师给了答案是根号2-2,要求我们写过程

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cos(-585°)/sin495°+sin(-570°)的值是老师给了答案是根号2-2,要求我们写过程

cos(-585°)/sin495°+sin(-570°)的值是老师给了答案是根号2-2,要求我们写过程
cos(-585°)/sin495°+sin(-570°)的值是
老师给了答案是根号2-2,要求我们写过程

cos(-585°)/sin495°+sin(-570°)的值是老师给了答案是根号2-2,要求我们写过程
cos(-585°)/[sin495°+sin(-570°)]
=cos(135°-720°)/[sin(135°+360°)+sin(150°-720°)]
=cos135°/(sin135°+sin150°)
=(-根号2/2)/(根号2/2 +1/2)
=(-根号2)/(根号2 +1)
=(-根号2)(根号2 -1)
=-2+根号2
(=根号2 -2)