" 46."(1+cos A)(1-cos A)(1+cot^(2)A)

(1+cos theta)(1-cos theta)(1+cot^(2)theta)=1

Prove that : (1 + cos A)/(1 - cos A) = (cosec A + cot A)^(2)

Prove each of the following identities : (i) (1+ cos theta)(1- cos theta)(1+ cot^(2) theta)=1 (ii) "cosec" theta (1+ cos theta)("cosec" theta - cot theta)=1

Prove: (1-cos A)/(1+cos A)=(cot A-cos ecA)^(2)

Prove that: sqrt ((1 + cos A) / (1-cos A)) = cos ecA + cot A

The value of ((sin A)/(1-cos A)+(1-cos A)/(sinA) div ((cot^2 A)/(1+cosec A)+1) is:

Show that (cos A)/(1-tan A)+(sin A)/(1-cot A)=sin A +cos A

(tan ^ (3) A) / (1 + tan ^ (2) A) + (cot ^ (3) A) / (1 + cot ^ (2) A) = sec A cos ecA-2sin A cos A

Prove: cos^(2)A+(1)/(1+cot^(2)A)=1

Prove that (cot A-cos A)/(cot A+cos A)=(cos ecA-1)/(cosecA+1)