Question

Решите пожалуйста задачу . Найдите угол между лучом ОВ и положительной полуосью ОХ ,если В(3;3)

Answer 1

Угол BOX - 45 градусов. (точки луча AB имеют одинаковые координаты, а тангенс угла наклона луча равен ординате, делённой на абциссу, то есть 1)

Answer 2

Finding the Angle Between Ray OV and the Positive X-Axis

To find the angle between the ray OV and the positive x-axis, we can use the coordinates of point V, which are given as (3, 3).

The formula to find the angle between a ray and the positive x-axis is given by:

θ = arctan(y/x)

Where: - θ is the angle between the ray and the positive x-axis. - y is the y-coordinate of the point. - x is the x-coordinate of the point.

Using the given coordinates of point V, which are (3, 3), we can calculate the angle θ as follows:

θ = arctan(3/3)

θ = arctan(1)

Using a calculator or mathematical software, we find that the angle θ is approximately 45 degrees.

This calculation is based on the coordinates of point V and the formula for finding the angle between a ray and the positive x-axis