If `sec theta=x+1/(4x)(0^@ lt theta lt 90^@)` equal to

If sin theta sec^(2) theta = (2)/(3), 0^(@) lt theta lt 90^(@) , then the value of (tan^(2) theta + sin^(2)theta) is :

If sin theta=(1)/(2) and 0^(@) lt theta lt 90^(@) , then cos2 theta =_________

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

If cosec theta=(29)/(21) ,where 0 lt theta lt 90^@ , then what is the value of 4sec theta + 4tan theta ?

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

if (cos theta)/(1-sin theta)+ (cos theta)/(1 + sin theta) = 4 , 0^@ lt theta lt 90^@ then what is the value of (sec theta + cosec theta + cot theta)?

If sin theta = sqrt(3) cos theta, 0 lt theta lt 90^(@) , then theta is equal to .