Angle quadrant calculator

This online calculator finds the quadrant of an angle in standard position. The given angle may be in degrees or radians. The reference angle calculator finds the corresponding angle in the first quadrant . For any given angle we need to see the angle formed by its terminal side with axis to find the reference angle. You can see all the reference angles possible for each quadrant , as each coterminal angle will be having same reference angle .

The common point is the vertex of the angle , and the lines are the sides.

Angles have many interesting properties.

Draw the corresponding line in QIII, marking 240°, being 60° below the negative x-axis. In the figure above, as you drag the orange point around the origin, you can see the blue reference angle being drawn. Convert to radian, degree, minutes, seconds, sign, octant, sextant, quadrant , revolution, gon and mil. Learn how to convert among anular units. Other angles with exact trig expressions involving square-roots.

A Trig Calculator using Decimal numbers of any length . Find the reference angle to an angle. Examples with detailed solutions are presented. For an angle θ, the functions are calculated this way:. We get the first solution from the calculator = sin -() = 30º (it is in Quadrant I). It is also known as gon gra or grade.

This was one reason for the adoption of the term Celsius to replace . The two triangles are congruent (identical) and must be drawn in the two quadrants that have the correct sign for your function. The various diagrams below show all the possible combinations. Make sure that you understand each of them.

Then you use your calculator to get the first angle , θPV , and finally you use the . Reference angle , defined with pics and examples, several practice problems with work. Also explains the chart of signs for the trig ratios in the four quadrants. Convert angle measures given in degrees to radians and vice versa. There is no related acute angle if the terminal arm lies in quadrant 1. So there is no need to get messed up with these angles just enter the angle and get you reference angle instantly.

This calculator is used to add and subtract angles in degrees, minutes and seconds. This angle form has each degree is divided into minutes and each minute divided into seconds. Used in astronomy and defining latitude and longitude.