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

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

Prove that sec theta + tan theta = tan (pi/4 + theta/2)

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

Find the values of cos theta and tan theta when sin theta =-3/5 and pi < theta < (3pi)/2

If tan^(-1)(cottheta)=2\ theta , then theta= (a) +-pi/3 (b) +-pi/4 (c) +-pi/6 (d) none of these

Prove that: sqrt((1-sintheta)/(1+sintheta))= sec theta- tan theta when (-pi/2) < theta < pi/2 and -sec theta+tan theta when pi/2< theta< (3pi)/2

If costheta=1/2 and pi< theta < (3pi)/2 , find the value of 4tan^2theta-3cos e c^2thetadot

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

Find the value of the other five trigonometric functions : tan theta = 4/3 , pi lt theta lt (3pi)/2

If pi < theta < (3pi)/(2) and cos theta = -3/5 , then tan ((theta)/(4)) is equal to