If `tan theta = - 4/3 , (3pi)/2 lt theta lt 2pi`, find the value of `9sec^2 theta-4 cot theta.`

If cos theta = - 3/5 and pi lt theta lt (3pi)/2 , find the value of (sec theta - tan theta)/(cosec theta + cot theta)

If tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot theta .

If tanx=-(4)/(3), (3pi)/(2) lt x lt 2pi , find the value of 9sec^(2)x-4 cot x .

If sec theta = sqrt(2) and (3pi)/2 lt theta lt 2pi , find the value of (1+tan theta + cosec theta)/(1-cot theta - cosec theta) .

If sec theta =sqrt(2) and (3pi)/(2)lt theta lt 2pi , find the value of (1+tan theta+"cosec"theta)/(1+cot theta-"cosec"theta) .

If 0 lt theta lt pi//2 then .find the least value of tan theta + cot theta

If tan theta = a/b , where 0lttheta lt pi/4 and bgtagt0 , find the value of sin 2theta, cos 2theta and tan 2theta.

If cos theta=12/13 , and (3pi)/2 le theta lt 2pi , then tan theta = ?

If cos theta= -1/2 and pi < theta < (3pi)/2 then find the value of 4tan^2 theta- 3cosec^2 theta

If pi lt theta lt (3pi)/(2) , then find the value of sqrt((1-cos2theta)/(1+cos 2 theta)) .