if `tan2theta.tan3theta=1,` where `0^(@) lt theta lt 90^(@)` then the value of `theta` is

If tan2theta.tan3theta=1 , where 0^(@)lt theta lt90^(@) then the value of theta is

If tan^(2)theta - 3sectheta + 3=0, 0^(@) lt theta lt 90^(@) , then the value of sintheta + cos theta is:

lf 2 cos 3theta = sqrt3 and 0^@ lt theta lt 90^@ then the value of theta is

If (cos^(2) theta)/(cot^(2) theta - cos^(2) theta) = 3 and 0^(@) lt theta lt 90^(@) , then the value of theta is

If 2cos theta - sin theta = 1/sqrt(2), (0^(@) lt theta lt 90^(@)) then the value of 2sin theta + cos theta is:

Solve tan theta tan 4theta=1 for 0 lt theta lt pi .