Solve `2cos^2theta+sinthetalt=2,` where `pi/2lt=thetalt=(3pi)/2dot`

The set of solution satisfying inequality 2cos^2theta+sinthetale2 , where pi/2lethetale(3pi)/2 .

Solve : 2 cos^(2)theta + sin theta le 2 , where pi//2 le theta le 3pi//2.

Solve (i)sin x>-(1)/(2)(ii)2cos^(2)theta+sin theta<=2 where pil2lethetale 3pi/2

Solve for theta,2 cos^2 theta+sin theta-1=0,0 le theta le pi/2

Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi .

Solve 2 cos^(2) x+ sin x le 2 , where pi//2 le x le 3pi//2 .

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

if 7 cos^(2) theta + 3 sin^2 theta = 4 and 0 lt theta lt (pi)/(2) , then find the value of cot theta