Let `theta ,phi in [0,2pi]` be such that `2 cos theta (1-sin phi)=sin^2 theta ((tan)theta/2+(cot)theta/2) cos phi -1, tan(2pi-theta) > 0 and -1 < sin theta < -sqrt3/2.` Then `phi` cannot satisfy

Let theta, phi in [0,2pi] be such that 2cos theta(1-sin phi)=sin^(2)theta("tan"(theta)/2+"cot"(theta)/2)cos phi-1, tan (2pi-theta)gt0 and -1lt sin theta lt -(sqrt(3))/2 . Then phi can not saitsfy

Let theta,phi in[0,2 pi] be such that 2cos theta(1-sin phi)=sin^(2)theta((tan)(theta)/(2)+(cot)(theta)/(2))cos phi-1,tan(2 pi-theta)>0 and -1

Let theta, varphi varepsilon [0,2 pi] be such that 2cos theta (1-sin varphi) = sin ^ (2) theta ((tan theta) / (2) + (cot theta) / (2)) cos varphi -1, tan (2 pi-theta)> 0 and -1> sin theta <(sqrt (3)) / (2)

Let varphi,phi in [0,2pi] be such that 2costheta(1-sinphi)=sin^2theta(tan(theta/2)+cottheta//2)"cos"phi-1,"tan"(2pi-theta)>0 and −1<"sinθ"< −sqrt3/2 then φ lies between

Prove that, cos^(2) (theta + phi) - sin^(2) (theta - phi) = cos 2 theta cos 2 phi

If tan^2 theta=2 tan^2 phi+1 , show that cos 2 theta+ sin^2 phi=0 .

If 0 lt theta , phi lt pi and 8 cos theta cos phi cos (theta + phi)+1=0 find theta and phi

If 0 lt theta , phi lt pi and 8 cos theta cos phi cos (theta + phi)+1=0 find theta and phi