Home
Class 12
MATHS
Write the value of tan^(-1)a/b-tan^(-1)(...

Write the value of `tan^(-1)a/b-tan^(-1)((a-b)/(a+b))`

Text Solution

Verified by Experts

Given,
`tan^(-1)a/b-tan^(-1)((a-b)/(a+b))` `=tan^(−1)(a/b)​−tan^(−1) ((b(a/b​−1)​)/(b(a/b​+1)))`
`=tan^(−1)(a/b)​−tan^(−1)( (​a/b​−tanπ/4​​)/(​1+tanπ/4​×a/b))`
...
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA|Exercise Solved Examples And Exercises|1401 Videos

  • JEE MAINS PREVIOUS YEAR

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

if a>b>0 then the value of tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-b)) is

If a > b > 0,than the value of tan^(-1) (a/b) + tan^(-1) ((a+b)/(a - b)) depends on

Q.the value of tan^(-1)((a)/(b+c))+tan^(-1)((b)/(c+a)), if /_=90^(@) in triangle ABC, is

The value of sec[tan^(-1)((b+a)/(b-a))-tan^(-1)((a)/(b))] is

If a ,\ b ,\ c >0 such that a+b+c=a b c , find the value of tan^(-1)a+tan^(-1)b+tan^(-1)c .

tan^(-1)((a)/(b))-tan((a-b)/(a+b))=(pi)/(4)

tan^(-1)((a+b tan x)/(b-a tan x))

tan ^ (- 1) ((a) / (b)) - tan ^ (- 1) ((ab) / (a + b)) = (pi) / (4)