Respuesta :
The terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
What is a terminal point?
The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
The equation for the angle is given as,
[tex]\theta=\dfrac{\pi}{4}\rm radians[/tex]
The terminal point and tan 0 has to be found out.As, the value of pi is 180 degrees. Put this value in the above expression as,
[tex]\dfrac{\pi}{4}=\dfrac{180}{4}=45^o[/tex]
Now, as the rotation of it clockwise from the x-axis in quadrant 1to get the degrees of the angle to the terminal point.
Let this is unit circle with radius 1. Therefore, from the unit circle attached below,
[tex]y=\sin(45)\times1=\dfrac{2}{\sqrt{2}}\\x=\cos(45)\times1=\dfrac{2}{\sqrt{2}}[/tex]
[tex]\tan (45)=1[/tex]
Hence, the terminal point of the 0=pi/4 is (2/√2 and 2/√2) and the value of tan0 is 1.
Learn more about the terminal point here;
https://brainly.com/question/4256586
