find the value

Question

the equation sin^-1x + cos^-1x + tan^-1x + cot^-1 ​​​​​x + sec^-1x + cosec^-1x =k holds good for 'a' values of x and 'b' values of k . , then a+b equal?

Answer 1

K can have only one value thus b=1

X can have 2 value : {-1,1} thus a=2

Hence a+b=3 (ans)