Question

Yhe set of ( operatorname{sol}^{n} quad i quad(-infty, 1] cup(2,4) )
( 45 mathrm{sin} theta mathrm{cos} theta-2 mathrm{cos} theta-2 sqrt{3} sin theta+sqrt{3}=0 )
( sin 2 theta+sqrt{3} / 2=2left(frac{cos theta+sqrt{3} sin theta}{2}right) )
( 2 sin (theta+pi / 6) cos (-pi / 6)=2 sin theta+pi / 6 )
( sin (theta+pi / 6)(cos (theta-pi / 6)-1)=0 )
( sin (theta+pi / 6)=0 quad theta=5 pi / 6,11 pi / 6 )
( cos (theta-pi / 6)=1 quad theta=pi / 6 )
Ans is

# 7 The solution set of the equation 4sin 0 cos 0 - 2 cos 0 - 273 sin 0 + V3 = 0 in the interval (0, 21) is- 51 111

Solution