Show that : `(cot A+tan B)/(cot B+tan A)=cot A tan B`

Prove: (cot A+tan B)/(cot B+tan A)=cot A tan B

Prove: (tan A+tan B)/(cot A+cot B)=tan A tan B

Show that: (1)/(tan3A+tan A)-(1)/(cot3A+cot A)=cot4A

Show that: (1)/(tan3A-tan A)-(1)/(cot3A-cot A)=cot2A

Show that in a Delta ABC (cot B+cot C)/(tan B+tan C)+(cot C+cot A)/(tan C+tan A)+(cot A+cot B)/(tan A+tan B)=1

If A+B+C=pi, prove that (tan A)/(tan B tan C)+(tan B)/(tan Atan C)+(tan C)/(tan A tan B)=tan A+tan B+tan C-2cot A-2cot B-2cot C

If A+B=(pi)/(4), prove that: (1+tan A)(1+tan B)=2(cot A-1)(cot B-1)=2

If A+B+C=pi then prove that sum((tan A)/(tan B tan C))=sum tan A-2sum cot A

If A+B+C= (pi)/(2) prove that:m (i) "tan"A tan B +"tan"B tan C +"tan" C tan A =1 (ii) cot A +cot B+ cot C= cot A cot B cot C.