> 数学 >
已知函数f(x)=sin2xcos2x-根号3sin²2x,求f(x)在区间[0,π/4]上的取值范围
人气:108 ℃ 时间:2019-12-03 04:26:22
解答
f*x(=1/2*sin4x-√3(1-cos4x)/2
=sin4xcosπ/3+cos4xsinπ/3-√3/2
=sin(4x+π/3)-√3/2
π/3<=4x+π/3<=4π/3
所以-√3/2<=sin(4x+π/3)<=1
在减去-√3/2
值域[-√3,1-√3/2]
推荐
猜你喜欢
© 2025 79432.Com All Rights Reserved.
电脑版|手机版