已知函数f(x)=Sin(x-x/6)+cos(x-派/3),g(x)=2sin^2 x/2.
(I)若a是第一象限角,且f(a)=3倍根号3/5.求g(a)的值.(II)求使f(x)大于等于g(x)成立的X的取值集合.
人气:449 ℃ 时间:2019-12-09 07:16:32
解答
f(a) = 根号(3)sina = 3根号(3)/5
sin a= 3/5
cos a= 4/5
2 sin^)2 a/2 = 1-cosa = 1/5
f(x) > g(x)
2sin(x+pi/6)>1
sin(x+pi/6) > 1/2
2npi + 5pi/6 > x+pi/6 > 2npi + pi/6
2npi < x < 2npi + 2pi/3
推荐
- 已知函数f(x)=sin(x-π/6)+cos(x-π/3)g(x)=2sin²x/2
- 已知函数f(x)=cos(2x-3/派)+2sin(x-4/派)sin(x+4/派)1.求f(x)的最小正周期和图像对称轴方程.
- 已知函数f(x)=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
- 已知函数fx=cos(2x-π/3)+2sin(x-π/4)sin(x+π/4)
- 已知函数f(x)=sin(x-π/6)+cos(x-π/3).g(x)=2sin²x/2 (1)若α是第一象限角,且f(α)=(3√3)/5,求g(x)的值,(2)求使f(x)≥g(x)成立的x的取值集合.
- 为什么集邮在世界各地都有爱好者,为什么集邮
- I watched her ___(dance) in the classroom when I passed yesterday.I can watch her _(dance)every day
- 在三角形ABC中,a,b,c是角A,B,C的对边,若a,b,c成等比数列,A=60°,则b*sinB/c等于?
猜你喜欢