Prove the following identities: `cot^4A-1=cos e c^4A-2cos e c^2A`

Prove the following identities: cot^(4)A-1=cos ec^(4)A-2cos ec^(2)A

Prove the following identities: (cos^2A-1)(cot^2A+1)=-1

Prove the following identities: cos^4A-cos^2A=sin^4A-sin^2A

Prove the following identities: (cotA+cos e cA-1)/(cotA-cos e cA+1)=(1+cosA)/(sinA)

Prove the following identities: 2sec^2theta-sec^4theta-2cos e c^2theta+cosec^4 theta=cot^4theta-tan^4theta

Prove the following identities: sin^4A+cos^4A=1-2sin^2Acos^2A

Prove the following identities: (cot A+cos ecA-1)/(cot A-cos ecA+1)=(1+cos A)/(sin A)

Prove the following identities: cot^4theta+cot^2theta=cos e c^4theta-"c o s e c"^2"theta"

Prove the following identities : (cot A - cosec A)^(2) = (1 - cos A)/(1 + cos A)

Prove the following identities: sin^4A-cos^4A=sin^2A-cos^2A=2sin^2A-1=1-2cos^2A