" Prove that "1+tan A tan(A)/(2)=tan A cot(A)/(2)-1=sec A

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

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 (1+tan A+sec A)(1+cot A-" cosec A")=2

prove that ((1-tan A)/(1-cot A))^(2)=tan^(2)A

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

Prove that (1+tan^(2)A)/(1+cot^(2)A)=((1-tan A)/(1-cot A))^(2)=tan^(2)A

Prove that (tan A)/(sec A-1)+(tan A)/(sec A+1)=2 cosec A .

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

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