sin A(1+tan A)+cos A(1+cot A)

Prove: sin θ(1 + tan θ) + cos θ(1 + cot θ) = (sec θ + cosec θ) .

Prove that : (1 + cot A + tan A) (sin A — cos A) = sin A tan A — cot A cos A.

Prove that : (1 + cot A + tan A) (sin A — cos A) = sin A tan A — cot A cos A.

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

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

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

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

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

Prove that : (a) (sintheta+costheta)^(2)=1+2sin thetacostheta (b)Sin A cos A tan A+cos A sin A cot A=1