Question

solve it:

tan^-1 (cotx) + cot^-1 (tanx) = π/4​

Answer 1

hope it helps you.please feel free to ask any doubt

Step-by-step explanation:

tan^-1(tan(pi/2-x))+cot^-1(cot(pi/2-x))=pi/4

so,pi/2-x+pi/2-x=pi/4

pi-2x=-pi/4

-2x=pi/4-pi

-2x=-3pi/4

x=3pi/8