(sin(x)+2)/cos(x),x属于(-0.5pai,0.5pai),求最小值

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(sin(x)+2)/cos(x),x属于(-0.5pai,0.5pai),求最小值

(sin(x)+2)/cos(x),x属于(-0.5pai,0.5pai),求最小值
(sin(x)+2)/cos(x),x属于(-0.5pai,0.5pai),求最小值

(sin(x)+2)/cos(x),x属于(-0.5pai,0.5pai),求最小值
原式可用数形结合的思想,即两点(cosx,sinx)(0,-2)的斜率.又x属于(-0.5pai,0.5pai),即单位圆的右半部分,即相切时,有倾斜角为60度,即最小值是根号3