sec^2x identity
sec^2x= 1+ tan^2x
cosec^2x identity
cosec^2x= 1 + cot^2x
domain and range of arctanx
domain: x is any real number
range: -pi/2 <= y <= pi/2
domain and range of arccosx
domain: -1<= x <= 1
range: 0<= y <= pi
domain and range of arcsinx
domain: -1<= x <= 1
range: -pi/2 <= y <= pi/2