Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (iii) `(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+sectheta cosectheta`

Prove the following identities,where the angles involved are acute angles for which the expressions are defined. (iii) (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta

Prove the following identities, where the angles involved are acute angles for which the expressions are defined. : (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta .

tantheta /(1-cottheta ) + cottheta/(1-tan theta)= 1+sectheta*cosectheta

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 identities. where the angles involved are acute angles for which the expressions are defined. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+secthetacosectheta [ Hint: Write the expression in terms of sin theta and cos theta ]

Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (i) (cosectheta-cottheta)^2=(1-costheta)/(1+costheta)

Prove the following identities,where the angles involved are acute angles for which the expressions are defined. (i) (cosectheta-cottheta)^(2)=(1-costheta)/(1+costheta)

(tantheta)/(1-cottheta)+(cottheta)/(1-tantheta) is equal to -

Prove the following identities,where the angles involves are acute angles for which the expressions are defined:(i) (1-costheta)/(1+costheta)=(Cosectheta-Cottheta)^2