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.

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.
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.

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.
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