函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等

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函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等函数y=(sinxcosx+1)/(sinxco

函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等
函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等

函数y=(sinxcosx+1)/(sinxcosx-1)值域为?快,在线等
y=(sinxcosx+1)/(sinxcosx-1)
={[(sin2x)/2]+1}/{[(sin2x)/2]-1}
=[(sin2x)+2]/[(sin2x)-2]
又当sin2x=1时,y=-3;
当san2x=-1时,y=-1/3
∴函数y的值域为:【-3,-1/3】.

y=(sinxcosx-1)\(sinXcosX-1+2)=1+(sinxcosx-1)\2=1+(sin2x-2)\4
-1≤sin2x≤1
-3≤sin2x-2≤-1
-4≤(sin2x-2)\4≤-4\3
-3≤1+(sin2x-2)\4≤4\1