f(x)=2根号3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π),将f(x)的图像向右平移π/6个单位求在[0,π]上的最大值和最少值
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f(x)=2根号3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π),将f(x)的图像向右平移π/6个单位求在[0,π]上的最大值和最少值f(x)=2根号3sin(x/2+π/4)co
f(x)=2根号3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π),将f(x)的图像向右平移π/6个单位求在[0,π]上的最大值和最少值
f(x)=2根号3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π),将f(x)的图像向右平移π/6个单位求在[0,π]上
的最大值和最少值
f(x)=2根号3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π),将f(x)的图像向右平移π/6个单位求在[0,π]上的最大值和最少值
f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
=√3*23sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
=√3sin(x+π/2)-sin(x+π)
=√3cosx+sinx
=2cos(x-π/6)
将f(x)的图像向右平移π/6个单位
则g(x)=f(x-π/6)=2cos(x-π/3)
∴在[0,π]上,当x=π/3时有最大值2,当x=π时有最小值-1
f(X)=√3 sin(x+π/2)+sin x
=√3 cos x +sin x
=2[√3/2* cos x +1/2*sin x]
=2[ sin π/3* cosx + cos π/3* sinx]
=2sin(x+π/3)
将f(x)的图像向右平移π/6个单位,画出图形得知,在[0,π]上,π/6处取最大值为2,π处最小值为-1。
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