Prove the following identity, where the angles involved are acute angles for which the expressions are defined. (i) `("c o s e ctheta-cottheta)^2=(1-costheta)/(1+costheta)`

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)

Prove the following identity,where the angles involved are acute angles for which the expressions are defined.(i) (csc theta-cot theta)^(2)=(1-cos theta)/(1+cos theta)

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

Prove the following identities. where the angles involved are acute angles for which the expressions are defined. (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) ( cosec theta - cot theta ) ^ 2 = ( 1 - cos theta ) /( 1 + cos theta )

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

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 identity, where the angles involved are acute angles for which the expressions are defined. (vii) (sintheta-2sin^3theta)/(2cos^3theta-costheta)=tantheta