Question

$\tt\ {tan}^{ - 1} (tan \frac{3 \pi}{4} )$

solve fast​

Answer 1

Answer:

$\boxed{\sf\huge \implies: - \frac{ \pi}{4}}$

Step-by-step explanation:

$\tt\ {tan}^{ - 1} (tan \frac{3 \pi}{4} ) \\ \\ \sf\ \implies: {tan}^{ - 1}[(tan \pi \: - \frac{ \pi}{4} )] \: \: \: [( \because \: \frac{3 \pi}{4} \notin \: ( \frac{ \pi}{2} , \frac{ \pi}{2} ) ] \\ \\ \sf\ \implies: {tan}^{ - 1} ( - tan \frac{ \pi}{4} )\\ \\ \sf\ \implies: {tan}^{ - 1} [ tan( - \frac{\pi }{4})] \\ \\ \boxed{\sf\huge \implies: - \frac{ \pi}{4}}$

Answer 2

Step-by-step explanation:

$\huge\boxed{\fcolorbox{red}{yellow}{hope this helps u..}}$