Evaluate `z=tan[tan^(-1)x+tan^(-1)y]`

What is the value of tan(tan^(-1)x + tan^(-1)y + tan^(-1)z)-cot(cot^(-1)x + cot^(-1)y + cot^(-1)z) ?

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x, y and z are in AP and tan^(-1) x, tan^(-1) y " and " tan^(-1) z are also in AP, then

For x,y,z,t in R , if sin^(-1)x+cos^(-1)y+sec^(-1)z ge t^(2)-sqrt(2pi)*t+3pi , then the value of tan^(-1)x+tan^(-1)y+tan^(-1)z+tan^(-1)( sqrt((2)/(pi))t) is __________.

If x,y,z are in AP and tan^(-1)x,tan^(-1)y,tan^(-1)z are also in AP, then