Complete the identity
-$$\tan \left( x + \frac { \pi } { 4 } \right) = ?$$
A) $\frac { \cos x + \sin x } { \cos x - \sin x }$
B) $\frac { \cos x - \sin x } { \cos x + \sin x }$
C) $- \frac { \cos x + \sin x } { \cos x - \sin x }$
D) $\frac { 1 + \cos x + \sin x } { \cos x - \sin x }$

Question

Quizplus · Accepted Answer

The identity $\tan(x + \frac{\pi}{4}) = \frac{\sin(x + \frac{\pi}{4})}{\cos(x + \frac{\pi}{4})}$ simplifies to $\frac{\sin x + \cos x}{\cos x - \sin x}$ using the sum of angles formula for sine and cosine, which matches choice A.

Complete the Identity - tan⁡(x+π4)=?\tan \left( x + \frac { \pi } { 4 } \right) = ?tan(x+4π​)=?

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