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

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

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

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

(1 + tan A) / (1-tan A) = (cos2A) / (1-sin2A)

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 (i) (sec 8A -1)/(sec 4A -1) =(tan 8A)/(tan 2A) (ii) (cos A+ sin A)/(cos A - sin A)-(cos A-sin A)/(cos A+sin A)=2 tan 2A

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

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

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)

Show that (i) sin^(8)A-cos^(8)A=(sin^(2)A-cos^(2)A)(1-2sin^(2)A.cos^(2)A) (ii) (1)/(sec A-tan A)-(1)/(cos A)=(1)/(cos A)-(1)/(sec A + tan A)