Question

Write the function tan(}{4} -x" alt="\frac{3\pi }{4} -x" align="absmiddle" class="latex-formula">) as an expression involving functions of x only

Answer 1

Step-by-step explanation:

$\tan( \frac{3\pi}{4}- x) = \frac{ \tan( \frac{3\pi}{4} ) - \tan(x) }{1 + \tan( \frac{3\pi}{4} ) \tan(x)}$

Since tan(3pi/4) = -1

$\tan( \frac{3\pi}{4}- x) = \frac{ - 1 - \tan(x) }{1 - \tan(x)}$

$= \frac{ \tan(x) + 1}{ \tan(x) - 1}$