tan A-cot A=-2cot2A

Prove that tan A - cot A =-2 cot2A

Prove that: tan3A tan2A tan A=tan3A-tan2A-tan Acot A cot2A-cot2A cot3A-cot3A cot A=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

Prove that (1)/(tan3A-tan a)-(1)/(cot3A-cot A)=cot2A

If A is not an integral multiple of (pi)/(2) , prove that (i) tan A + cot A= 2 cosec 2 A (ii) cot A - tan A = 2cot 2A

If 2A is not an integral multiple of pi , then show that i) cot A+tan A=2"cosec " 2A ii) cot A-tan A=2 cot2A and deduce the values of tan52 1^(@)/2 and tan37 1^(@)/2

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

If tan A+cot A=2,then tan^(4)A+cot^(4)A=

Prove that (1)/(tan 3A - tan A) - (1)/(cot 3A - cot A) = cot 2A .

If 2tan A+cot A=tan B then cot A+2tan(A-B)=