" Prove that: "quad (tan A+sin A)/(tan A-sin A)=(sec A+1)/(sec A-1)

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)

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

Prove that : sqrt ((1 - sin A)/(1 + sin A)) = sec A - tan A

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

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

Prove that (sec A-tan A)^(2)(1+sin A)=1-sin A

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

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

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

If A+B=90 then prove that sqrt((tan A tan B+tan A cot B)/(sin A sec B))=sec A