Evaluate the following expression.(x ? ?/10 + ?n,where n is a whole number)? $5 \cos 5 x - \frac { 5 \cos 5 x } { 1 - \tan 5 x }$ ?
A) $\frac { 10 \sin 5 x \cos 5 x } { \sin 5 x - \cos 5 x }$
B) $\frac { - 5 \sin 5 x \cos 5 x } { \sin 5 x + \cos 5 x }$
C) $\frac { 5 \sin 5 x \cos 5 x } { \sin 5 x - \cos 5 x }$
D) $\frac { - 5 \sin 5 x \cos 5 x } { \sin 5 x - \cos 5 x }$
E) $\frac { 5 \sin 5 x \cos 5 x } { \sin 5 x + \cos 5 x }$

Question

Quizplus · Accepted Answer

The correct answer is C because:$\frac { 5 \cos 5 x - \frac { 5 \cos 5 x } { 1 - \tan 5 x } } { 5 \cos 5 x } = \frac { 5 \cos 5 x - \frac { 5 \cos 5 x } { \frac { \sin 5 x } { \cos 5 x } } } { 5 \cos 5 x } = \frac { 5 \cos 5 x - 5 } { 5 \sin 5 x } = \frac { 5 ( \cos 5 x - 1 ) } { 5 \sin 5 x } = \frac { \cos 5 x - 1 } { \sin 5 x } = \frac { 1 - \cos 5 x } { \sin 5 x } = \frac { 2 \sin^2 \frac { 5 x } { 2 } } { 2 \sin \frac { 5 x } { 2 } \cos \frac { 5 x } { 2 } } = \frac { \sin 5 x } { \cos 5 x } = \frac { 5 \sin 5 x \cos 5 x } { \sin 5 x - \cos 5 x }$

Evaluate the Following Expression 5cos⁡5x−5cos⁡5x1−tan⁡5x5 \cos 5 x - \frac { 5 \cos 5 x } { 1 - \tan 5 x }5cos5x−1−tan5x5cos5x​

Evaluate the Following Expression $5 \cos 5 x - \frac { 5 \cos 5 x } { 1 - \tan 5 x }$