Prove the Identity $$\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }$$

question 180

Essay

Prove the identity.
- $$\tan \left( x - \frac { \pi } { 4 } \right) = \frac { \tan x - 1 } { 1 + \tan x }$$

---

Definitions:

Detailed Explanation

An elaborate and comprehensive description of a concept, process, or idea that clarifies and elucidates its components.

Clear Purpose

Denotes having a distinct aim or goal, often critical in communication, project planning, or objective setting.

Negative Message

Communication that conveys rejection, refusal, or other unwelcome news.

Direct Format

A straightforward and clear way of presenting information, without unnecessary decorations or diversions.