Given:
[tex]tan\theta=0.5936[/tex]Aim:
We need to find the trigonometric function and the quadrant of the angle.
Explanation:
[tex]tan\theta=0.5936[/tex]Take inverse trigonometry on both sides of the equation.
[tex]\theta=tan^{-1}0.5936[/tex][tex]\theta=30.6934[/tex][tex]\text{ The angle 30.6934 lies between 0 and }\frac{\pi}{2}.[/tex][tex]0\text{ to }\frac{\pi}{2}\text{ refers to the first quadrant.}[/tex]Final answer:
[tex]Since\text{ 0.5963 is between 0 and }\frac{\pi}{2}\text{ the angle is in quadrant I.}[/tex][tex]tan30.6934^o=0.5936[/tex][tex]tan\text{ }0.5936=30.6934^o[/tex]