Question: Prove that for xy 1 provided the value of the left side of the equation is between -/2 and /2. arctan x + arctan

Prove that

arctan x + arctan y = arctan x + y 1 -

for xy ≠ 1 provided the value of the left side of the equation is
between -π/2 and π/2.

arctan x + arctan y = arctan x + y 1 - xy

Step by Step Solution

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let arctan x arctan y 0 Then tan arctan x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!