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

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

If tan^2 theta = 1-e^2 then the value of sec theta + tan^3 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 tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot theta .

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

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

If 5 cot theta =12 , find the value of : "cosec" theta + sec theta

If cos theta = 3/5 and theta lies in the fourth quadrant, find the value of cosec theta + cot 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) .