Question #db1ea

Question

1110 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-15T04:15:03

see explanation below

Let we take LHS to prove RHS.

$tan (x + 3.14/4) = tan(x + pi/4)$

from Phytogoras Triginometric method,

$tan ( a + b) = (tan a + tan b)/(1 - tan a* tan b)$ ,

therefore
$tan(x + pi/4) = (tan x + tan (pi/4))/(1 - tan x* tan (pi/4)$

$tan(x + pi/4) = (tan x + 1)/(1 - tan x* 1)$ where $tan (pi/4) = 1$

$tan(x + pi/4) = (tan x + 1)/(1 - tan x)$ or $(1 + tan x)/(1 - tan x)$