Table of Contents
What angles are Coterminal with 80?
An angle of 800 degrees is coterminal with an angle of 800−360=440 degrees. It would also be coterminal with an angle of 440−360=80 degrees. The angle θ=80∘ is coterminal with 800∘.
How do you find the Coterminal angle?
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
How do you know if two angles are Coterminal?
If two angles are drawn, they are coterminal if both their terminal sides are in the same place – that is, they lie on top of each other. In the figure above, drag A or D until this happens. If the angles are the same, say both 60°, they are obviously coterminal.
What is the Coterminal angle of 42?
402°
All angles having a measure of 42° + 360k°, where k is an integer, are coterminal with 42°. A positive angle is 42° + 360°(1) or 402°.
How do reference angles work?
The reference angle is the angle that the given angle makes with the x-axis. Regardless of where the angle ends (that is, regardless of the location of the terminal side of the angle), the reference angle measures the closest distance of that terminal side to the x-axis.
What is Coterminal to degrees?
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
What is Coterminal in math?
Coterminal angles: are angles in standard position (angles with the initial side on the positive x-axis) that have a common terminal side. For example, the angles 30°, –330° and 390° are all coterminal (see figure 2.1 below). Fig.
What is the positive angle that are Coterminal with an angle that measure 4π 3?
Coterminal angle of 240° (4π / 3): 600°, 960°, 120°, -480° Coterminal angle of 255°: 615°, 975°, -105°, -465°
What is the reference angle to 205?
25°
Reference angle for 205°: 25° Reference angle for 210°: 30° (π / 6)
What is the reference angle for 240?
60 degrees
A 240-degree angle is between 180 and 270 degrees, so its terminal side is in QIII. Do the operation indicated for that quadrant. Subtract 180 from 240. You find that 240 – 180 = 60, so the reference angle is 60 degrees.
What’s a reference angle?
An angle’s reference angle is the measure of the smallest, positive, acute angle t formed by the terminal side of the angle t and the horizontal axis. Thus positive reference angles have terminal sides that lie in the first quadrant and can be used as models for angles in other quadrants.