函数y=cos^2x-sin^2x+2sinxcosx(x∈R)的值域为

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函数y=cos^2x-sin^2x+2sinxcosx(x∈R)的值域为
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函数y=cos^2x-sin^2x+2sinxcosx(x∈R)的值域为
函数y=cos^2x-sin^2x+2sinxcosx(x∈R)的值域为

函数y=cos^2x-sin^2x+2sinxcosx(x∈R)的值域为
y=cos^2x-sin^2x+2sinxcosx
=cos2x+sin2x
=根号2 sin(2x+π/4)
-1

若 x属于(0,45) y=cos^2x-sin^2x+2sinxcosx的 值域.
答案是(1,根号2]