Solve : `3tantheta+cottheta=5 cosectheta`

If 3 tantheta+ cottheta = 5cosec theta, then prove that costheta =1/2

Solve : tantheta+sectheta=sqrt3 , 0< theta<2pi

Solve : tantheta+tan2theta+sqrt3tanthetatan2theta=sqrt3

Prove the following tantheta/(1-cottheta) +cottheta/(1-tantheta) =sectheta.cosectheta+1=1+tantheta+cottheta

Prove the following (cosectheta+cottheta-1) /(cottheta-cosectheta+1) =(1+costheta) /sintheta

Prove the following 1+(cot^2theta) /(1+cosectheta)=cosectheta

Prove that cottheta+tantheta=secthetacosectheta

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(iii) tantheta/(1-Cottheta)+Cottheta/(1-tantheta)=Sectheta Cosectheta+1

Prove the following 1/(sectheta-tantheta) -1/costheta=1/costheta-1/(sectheta+tantheta)

Prove that (1+cosectheta-cottheta)/(1+cosectheta+cottheta)=(1-costheta)/(sintheta)