Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The value of \(\tan^{-1}x+ \tan^{-1}y\) for \(xy>1,x,y>0\) is

Options:

\(\tan^{-1}\left(\frac{x-y}{1+xy}\right)\)

\(\pi+\tan^{-1}\left(\frac{x+y}{1-xy}\right)\)

\(\pi+\tan^{-1}\left(\frac{x-y}{1+xy}\right)\\)

\(\pi+\tan^{-1}\left(\frac{x+y}{1+xy}\right)\)

Correct Answer:

\(\pi+\tan^{-1}\left(\frac{x+y}{1-xy}\right)\)