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

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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

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