`(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)`

sin A(1+tan A)+cos A(1+cot A)=sec A+cosec A

7. (sin A+cos A)(cot A+tan A)=sec A+cosec A

(1+tan A+sec A)(1+cot A-cosec A)=

sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A .

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

Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA)/(cosec^2 A)- (cosec A)/(sec^2A) .

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

Prove that : (tan A)/ (1 - cot A) + (cot A)/ (1 - tan A) = sec A cosec A + 1

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 (i) (tan A+ sin A)/(tan A- sin A)= (sec A+1)/(sec A-1) (ii) (cot A- cos A)/(cot A+ cos A)= ("cosec" A-1)/("cosec" A+1)