" 32.Prove that "(1+(1)/(tan^(2)A))(1+(1)/(cot^(2)A))=(1)/(sin^(2)A-sin^(4)A)

Prove that (1+(1)/(tan^2 A)) (1+(1)/(cot^2A)) = (1)/(sin^2 A- sin^4 A)

Prove: (1+tan^(2)A)+(1+(1)/(tan^(2)A))=(1)/(sin^(2)A-sin^(4)A)

Prove that (1 + 1/(tan^2A)) (1 + 1/(cot^2A)) = 1/(sin^2 A - sin^4 A )

(1+(1)/(tan^(2)theta))(1+(1)/(cot^(2)theta))=(1)/(sin^(2)theta-sin^(4)theta)

Prove that : (1 + tan^(2) A) + (1 + (1)/ (tan^(2) A)) = (1)/ (sin^(2) A - sin^(4) A)

Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

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

Prove that : tan^(-1).(1)/(4)+tan^(-1).(2)/(9)=(1)/(2)sin^(-1).(4)/(5)

Prove each of the following identities : (1+ tan^(2) theta)(1+ cot^(2) theta)=(1)/((sin^(2) theta- sin^(4) theta))