If `cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, ` then `cos theta ` is equal to

If cos theta cos 2 theta cos 3theta = 1//4 for 0 lt theta lt pi then theta =

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 .

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 l cos^2 theta + m sin^2 theta =(cos^2 theta (cosec^2theta +1))/(cosec^2 theta -1), 0^@ lt theta lt 90^@ , then tan theta is equal to

If sin theta + 2 cos theta = 1, where 0 lt theta lt (pi)/(2), then what is 2 sin theta - cos theta equal to ?

If sin theta + 2cos theta = -1 , where 0 lt theta lt pi/2 , what is 2 sin theta - cos theta equal to ?

If sintheta + cos theta = (1+ sqrt(3))/2 , where 0 lt theta lt pi/2 , then what is tantheta + cot theta equal to ?