Question

Найдите угол между лучом ОB и положительной полуосью ОX,если B(3;3).

Answer 1

Tg искомого угла = y / x = 3 / 3 = 1
угол 45 град0/1 

Answer 2

Calculating the Angle Between OB and the Positive X-Axis

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

Using the formula for calculating the angle between a line and the positive x-axis, we can use the arctan function to find the angle.

The formula for the angle θ between a line and the positive x-axis is given by:

θ = arctan(y/x)

Where (x, y) are the coordinates of the point.

Substituting the given coordinates (3, 3) into the formula:

θ = arctan(3/3)

θ = arctan(1)

Using a calculator or a programming language that supports trigonometric functions, we can find the value of arctan(1).

The value of arctan(1) is approximately 45 degrees.

Therefore, the angle between the ray OB and the positive x-axis is 45 degrees.