Prove that: `(1/(sec^2A-cos^2A)+1/(cosec^2A-sin^2A))sin^2Acos^2A=(1-sin^2Acos^2A)/(2+sin^2Acos^2A)`

Prove that: [1/(sec^(2)A-cos^(2)A)+1/("cosec"^(2)A-sin^(2)A)].sin^(2)A.cos^(2)A=(1-sin^(2)Acos^(2)A)/(2+sin^(2)Acos^(2)A)

sin^4A-cos^4A=2sin^2A-1=1-2cos^2A=sin^2A-cos^2A

Prove that (sin^2A)/(cos^2A)+(cos^2A)/(sin^2A)=1/(sin^2Acos^2A)-2 .

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

Prove: cosec^2A -cos^2 A =(sec^2A -sin^2A)/(tan^2 A)

Prove that 1-8sin^2Acos^2A=cos4A

Prove that (1/(sec^2theta-cos^2theta)+1/(cosec^2-sin^2theta))sin^2thetacos^2theta=(1-sin^2thetacos^2theta)/(2+sin^2thetacos^2theta

Prove that : sin^(2)Acos^(2)B-cos^(2)Asin^(2)B=sin^(2)A-sin^(2)B

Prove that : sin^(2)Acos^(2)B-cos^(2)Asin^(2)B=sin^(2)A-sin^(2)B

Prove that (sin^Acos^B-cos^2Asin^2B)=(sin^2A-sin^2B)