Q:

evaluate tangent ^-1 1

Accepted Solution

A:
ANSWER[tex]{ \tan }^{ - 1} (1) = 45 \degree[/tex]Or[tex]{ \tan }^{ - 1} (1) = \frac{\pi}{4} [/tex]EXPLANATIONWe want to evaluate:[tex] { \tan }^{ - 1} (1)[/tex]We can use scientific calculator to evaluate this directly to obtain:[tex]{ \tan }^{ - 1} (1) =45\degree[/tex]Or[tex]{ \tan }^{ - 1} (1) = \frac{\pi}{4} [/tex]You could have also let:[tex]x = { \tan }^{ - 1} (1)[/tex]Then,[tex] \tan(x) = 1[/tex]The angle whose tangents is 1 is[tex]x =45\degree[/tex]Or[tex]x = \frac{\pi}{4} [/tex]