Perform the transformation.
-Write $\tan x$ in terms of $\cos x$.
A) $\frac { \pm \cos x \sqrt { 1 - \cos ^ { 2 } x } } { 1 - \cos ^ { 2 } x }$
B) $\frac { \pm \sqrt { 1 - \cos ^ { 2 } x } } { \cos x }$
C) $\pm \sqrt { 1 - \cos ^ { 2 } x }$
D) $\frac { \pm \sqrt { 1 - \cos ^ { 2 } x } } { 1 - \cos ^ { 2 } x }$

Question

Quizplus · Accepted Answer

The trigonometric identity $\tan x = \frac{\sin x}{\cos x}$ can be used, where $\sin x = \sqrt{1 - \cos^2 x}$ from the Pythagorean identity. Thus, $\tan x = \frac{\sqrt{1 - \cos^2 x}}{\cos x}$.

Perform the Transformation tan⁡x\tan xtanx In Terms Of cos⁡x\cos xcosx A) ±cos⁡x1−cos⁡2x1−cos⁡2x\frac { \pm \cos x \sqrt { 1 - \cos ^ { 2 } x } } { 1 - \cos ^ { 2 } x }1−cos2x±cosx1−cos2x​​

Perform the Transformation $\tan x$ In Terms Of $\cos x$
A) $\frac { \pm \cos x \sqrt { 1 - \cos ^ { 2 } x } } { 1 - \cos ^ { 2 } x }$