Write short answers.
Consider the inverse tangent function, defined by , or . Complete parts (a)-(d).
(a) What is its domain?

Ask by Ray Chang. in the United States

Nov 02,2024

Question

Write short answers. Consider the inverse tangent function, defined by $$ y=	an ^{-1} x $$, or $$ y=\arctan x $$. Complete parts (a)-(d). (a) What is its domain?

UpStudy AI · Accepted Answer

The domain of the inverse tangent function $$ y = \arctan x $$ is all real numbers, or $$ (-\infty, \infty) $$.
The domain is $$ (-\infty, \infty) $$. - question: Consider the inverse tangent function, defined by $$ y=	an ^{-1} x $$, or $$ y=\arctan x $$. Complete parts (a)-(d). (b) What is its range? - full answer: The range of the inverse tangent function $$ y = \arctan x $$ is $$ (-\frac{\pi}{2}, \frac{\pi}{2}) $$. - simplify answer: The range is $$ (-\frac{\pi}{2}, \frac{\pi}{2}) $$. - question: Consider the inverse tangent function, defined by $$ y=	an ^{-1} x $$, or $$ y=\arctan x $$. Complete parts (a)-(d). (c) What is the value of $$ \arctan(1) $$? - full answer: The value of $$ \arctan(1) $$ is $$ \frac{\pi}{4} $$. - simplify answer: $$ \arctan(1) = \frac{\pi}{4} $$. - question: Consider the inverse tangent function, defined by $$ y=	an ^{-1} x $$, or $$ y=\arctan x $$. Complete parts (a)-(d). (d) What is the value of $$ 	an(\arctan x) $$? - full answer: The value of $$ 	an(\arctan x) $$ is $$ x $$. - simplify answer: $$ 	an(\arctan x) = x $$.

Write short answers.
Consider the inverse tangent function, defined by , or . Complete parts (a)-(d).
(a) What is its domain?

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Pre Calculus Questions

Write short answers. Consider the inverse tangent function, defined by , or . Complete parts (a)-(d). (a) What is its domain?