3(1-sin A+cos A)^(2)=2(1-sin A)(1+cos A)

Prove that [(1-sin A-cos A)^(2)=2(1-sin A)(1-cos A)]

Prove that (1+sin A+cos A)^(2)=2(1+sin A)(1+cos A)

Prove the following identities: (cos A)/(1-sin A)+(sin A)/(1-cos A)+1=(sin A cos A)/((1-sin A)(1-cos A))((1+cot A+tan A)(sin A-cos A)/(sec^(3)A-cos ec^(3)A)=sin^(2)A cos^(2)A

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

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

((1-sin A cos A) (sin ^ (2) A-cos ^ (2) A)) / (cos A (sec A-cos ecA) (sin ^ (3) A + cos ^ (3) A ))

If A = 30^(@) , show that : (i) (1 + sin 2A + cos 2A)/(sin A + cos A) = 2 cos A (ii) (cos^(3)A - cos 3A)/(cos A) + (sin^(3)A + sin 3A)/(sin A) = 3

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

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

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