Home
Class 11
MATHS
tan^(-1) (1/5) + tan^(-1) (1/7) + tan^(-...

`tan^(-1) (1/5) + tan^(-1) (1/7) + tan^(-1) (1/3) + tan^(-1) (1/8) = π/4`

Text Solution

Verified by Experts

We will the formula here, `tan^-1x+tan^-1 y = tan^-1((x+y)/(1-xy))`
Here,
L.H.S
`tan^-1(1/3)+tan^-1(1/7)+tan^-1(1/5)+tan^-1(1/8)` ...
Promotional Banner

Similar Questions

Explore conceptually related problems

tan^(-1) (1/5) + tan^(-1) (1/8) =

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4

Prove that tan^ (-1)( 1/3) +tan^(-1)( 1/5) + tan^(-1) (1/7 )+tan^(-1) (1/8) = pi/4

Prove that : tan^(-1)(1/2) + tan^(-1)(1/3) = tan^(-1)(3/5) + tan^(-1)(1/4) = pi/4

2 * tan^-1 (1/3) + tan^-1 (4/3) = π/2

tan^-1 (1/6) + tan^-1 (5/7) = π/4

tan^-1 (1/2) + tan^-1 (1/3) = π/4

tan^(-1)(1/7)+tan^(-1)(1/9)+tan^(-1)(1/8)