Question

tan^-1 (2)+tan^-1(3)=cosec^-1(x) find x

Answer 1

Answer:

By Yoshana Chaudhary

Step-by-step explanation:

Note that tan^-1(2) is greater than tan^-1(1)= pi/4

Similarly tan^-1(3) is greater than tan^-1(1)= pi/4

So, the sum tan^-1(2)+tan^-1(3) is greater than pi/4 + pi/4 = pi/2

However, range of RHS cosec^-1(X) is [-pi/2, 0)U(0,pi/2].

So, LHS is greater than pi/2 but RHS is less than pi/2

So, there exists no solution

HOPE IT HELPS YOU....