Answer :

We are given that,

xy = 1, x < 0 and y < 0

We need to find the value of tan-1 x + tan-1 y.

Using the property of inverse trigonometry,

We already know the value of xy, that is, xy = 1.

Also, we know that x, y < 0.

Substituting xy = 1 in denominator,

And since (x + y) = negative value = integer = -a (say).

tan-1 x + tan-1 y = tan-1 -∞ …(i)

Using value of inverse trigonometry,

Substituting the value of tan-1 -∞ in the equation (i), we get

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses

Prove the followiMathematics - Board Papers

Solve the followiMathematics - Board Papers