" 10."sin^(2)A+(1)/(1+tan^(2)A)=1

(1-sin^(2)A)(1+tan^(2)A)=

(1-sin(2)A)(1+tan^(2)A)=1

(1-sin^2A)(1+tan^(2)A)=1

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

If sin^(4)A+sin^(2)A=1 then prove that (1)/(tan^(4)A)+(1)/(tan^(2)A)=1

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

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

cos ^ (2) A-sin ^ (2) A = (1-tan ^ (2) A) / (1 + tan ^ (2) A)

(tan ^ (2) A sin ^ (2) A) / (tan ^ (2) A-sin ^ (2) A) = 1

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