If` A + B= pi/4` , show that (cot A-1) (cot B-1) =2

i) If A+B=pi/4 prove that: (cotA-1)(cotB-1)=2 ii) If tan(picostheta)=cot(pisintheta) , then prove that: cos(theta-pi/4)=1/(2sqrt(2))

if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

(ii) If none of A, B is 0 and A+B=pi/2 , then cot A cot B =1 .

If A+B+C=pi , prove that: cot^2 A+cot^2 B + cot^2 C ge 1

If A+B+C=pi , prove that : cot, A/2+ cot, B/2 + cot, C/2 = cot, A/2 cot, B/2 cot, C/2

Show that cot(pi/4+x)cot(pi/4-x)=1

If 8theta = pi show that cot 7theta+cot theta = 0

In any triangle A B C , prove that: (b-c)cot A/2+(c-a)cot B/2+(a-b)cot C/2 =0

Prove that cot(pi/4-2cot^(- 1)3)=7

Prove that cot(pi/4-2cot^(- 1)3)=7