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

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

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

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

Prove :sin^(2)A cot^(2)A+cos^(2)A tan^(2)A=1

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

(tan A) / (1-cot A) + (cot A) / (1-tan A) = 1 + tan A + cot A = 1 + sec A cos ecA (1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)

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

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