" b) Prove that : "sqrt((1+cos B)/(1-cos B))=cosec B+cot B

If in Delta ABC , angle C = 90 ^(@) , prove that : sqrt((1-sin A)/(1+cos B))= sec A -cot B

Prove the following identities : sqrt ((1 - cos A) /(1 + cos A)) = cosec A - cot A

If none of A,B, A+B is an integral multiple of pi , then prove that (1- cos A+ cos B- cos (A+B))/(1+ cos A- cos B - cos (A+B))=tan.(A)/(2) cot. (B)/(2)

Prove that (1-cos A+cos B-cos(A+B))/(1+cos A-cos B-cos(A+B))=tan((A)/(2))cot((B)/(2))

Prove that: (cos A+cos B)/(cos B-cos A)=cot((A+B)/2)cot((A-B)/2)

Prove that: (cos A+cos B)/(cos B-cos A)=cot((A+B)/(2))cot((A-B)/(2))

Prove that , (Cot A-cos A)/(cot A+cos A)=(cosec A-1)/(cosec A+1)

If A + B + C = pi , prove that cos A cosec B cosec C + cos B cosec C cosec A + cos C cosec A cosec B = 2 .

If A and B are complementary angles, prove that : cot B + cos B = sec A cos B (1 + sin B)