F(x)=根号3(sin^2X-cos^2X)+2sinXcosX
=√3cos2x+sin2x
=2sin(2x+π/3)
(1) X属于[0,2π/3] 2x+π/3属于[π/3,5π/3]
2sin(2x+π/3)属于[-2,2]
值域为 [-2,2]
(2)
2kπ-π/2
已知函数F(x)=根号3(sin^2X-cos^2X)+2sinXcosX.(1)X属于[0,2π/3]时,求F(x)的值域.
已知函数F(x)=根号3(sin^2X-cos^2X)+2sinXcosX.(1)X属于[0,2π/3]时,求F(x)的值域.
(2)求F(x)的递增区间
(2)求F(x)的递增区间
数学人气:167 ℃时间:2019-08-20 17:34:05
优质解答
我来回答
类似推荐
猜你喜欢
- 1Must I clean the room now No you don't_______
- 2用数学归纳法证明(n+1)+(n+2)+…+(n+n)=n(3n+1)2的第二步中,n=k+1时等式左边与n=k时的等式左边的差等于( ) A.2k+2 B.4k+3 C.3k+2 D.k+1
- 3I don't think that when people grow up,they will become more broad
- 4王老师不仅使我们的老师还是我们的朋友英语怎么说
- 5设f(x)适合af(x)+bf(1/x)=c/x(a,b,c均为常数),且|a|=|b|,试证:f(-x)=-f(x)
- 6----What would you like to drink?----It doesn't matter._____ will be OK.
- 7-根绳子长13.4米,第-次剪去3.2米,第二次剪去多少长才能使剩下的长度刚好是第-次剪去的2倍?
- 8求读书笔记100字的,有好词,有好句.
- 9甲数的8分之5等于乙数的12分之5,甲数:乙数等于【 】:【 】
- 10如图所示,一平行板电容器水平放置,板间距离为d,上极板开有一小孔,质量均为m,带电荷量均为+q的两个带电小球(视为质点),其间用长为L的绝缘轻杆相连,处于竖直状态,已知d=2L,