Question

In the accompanying diagram of circle O, point O

Answer 1

The number of degrees in the first quadrant is 45 degrees.

Coordinates of a circle

The formula for calculating the angle in the first quadrant If the coordinates of point J are $(\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$

$tan \theta = \frac{y}{x}\\tan \theta =\frac{\frac{\sqrt{2}}{2} }{\frac{\sqrt{2}}{2} }\\tan \theta =1\\\theta = tan^{-1}1\\\theta = 45^0$

From the calculation above the number of degrees in the first quadrant is 45 degrees.

Learn more on circles here: brainly.com/question/24375372