its the tangent of the angle the slope makes with the x-axis
Sine is NOT the y coordinate: it is the sine of the angle made by the x-axis and the radius from a point on the circle. It is the cosine of the angle made with the y-axis.Consider any point, P, on the unit circle with coordinates (x, y). And let Q be the foot of the perpendicular from P to the x-axis. Then y = PQ.Now, in the right angled triangle OPQ, if OP makes an angle theta with the x axis, then sin(theta) = PQ/OP = y/OP and since OP is the radius of a unit circle, OP = 1 so that sin(theta) = y.
It is a 90 degree angle, or a right anlge, plus another 45 degrees. So you can visualize it as a 45 degree angle measured from the negative side of the x axis going toward the positive y axis on the x-y plane.
A line which rotates through an angle of 10 degree with the positive side of the x-axis of the Cartesian plane is called a 10 degree angle.
a coordinate grid
The angle measured counterclockwise from the x-axis to vector A is the direction of the vector relative to the x-axis. It is typically expressed in degrees or radians, with 0 degrees corresponding to the positive x-axis.
The answer depends on the form in which the direction is given. On the coordinate plane, the direction given by the polar coordinates is the angle made with the positive direction of the x-axis.
No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)No, the axis must be specified: torque = (distance from the axis) X (force). (X is the vector cross-product in this case - meaning the angle also matters.)
its the tangent of the angle the slope makes with the x-axis
When the beginning ray of the angle is on the x-axis.
In 2 dimensions the angle made by the displacement vector with the positive x-axis is arctan(y/x).
At what angle should a vector be directed to so that its x component is equal to its y component
45 degree
an x and y axis is what you would find on a grid, most probable a bar chart
Sine is NOT the y coordinate: it is the sine of the angle made by the x-axis and the radius from a point on the circle. It is the cosine of the angle made with the y-axis.Consider any point, P, on the unit circle with coordinates (x, y). And let Q be the foot of the perpendicular from P to the x-axis. Then y = PQ.Now, in the right angled triangle OPQ, if OP makes an angle theta with the x axis, then sin(theta) = PQ/OP = y/OP and since OP is the radius of a unit circle, OP = 1 so that sin(theta) = y.
It is a 90 degree angle, or a right anlge, plus another 45 degrees. So you can visualize it as a 45 degree angle measured from the negative side of the x axis going toward the positive y axis on the x-y plane.
To find the direction of a vector, you can calculate the angle it makes with a reference axis, often the positive x-axis. Use trigonometry functions such as tangent or arctangent to determine this angle with respect to the chosen axis. The direction can be expressed as an angle or in unit vector notation.