What is a Coterminal angle to 90?
with 450, we subtract 360 to get 90, which will satisfy the coterminal angles. For -270, we rotate the pencil to the RIGHT 270 degrees, which will terminate on the 90 degree line, making this satisfy the coterminal angle as well!
How do you find the Coterminal angle?
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. There are an infinite number of coterminal angles that can be found.
What angle is Coterminal with 100 degrees?
Trigonometry Examples Add 360° 360 ° to −100° – 100 ° . The resulting angle of 260° 260 ° is positive and coterminal with −100° – 100 ° . Since the angle 180° is in the third quadrant, subtract 180° from 260° .
What angle is Coterminal with 80 degrees?
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∘.
Which Angle has a positive measure?
Positive angles. The positive angles on the unit circle are measured with the initial side on the positive x-axis and the terminal side moving counterclockwise around the origin.
How do you determine quadrant?
Four Quadrants. When we include negative values, the x and y axes divide the space up into 4 pieces: Quadrants I, II, III and IV. (They are numbered in a counter-clockwise direction) In Quadrant I both x and y are positive, in Quadrant II x is negative (y is still positive), in Quadrant III both x and y are negative, and.
What is the terminal side of an angle?
The terminal side of an angle is the ray where the measurement of an angle ends. Co-terminal angles are angles which when drawn at standard position share a terminal side. For example, 30°, -330°, 390° are all coterminal. The following diagram shows the coterminal angles 30°, -330°.
What is the terminal Ray of an angle?
The ray on the x-axis is called the initial side and the other ray is called the terminal side. The initial side is where the angle starts and the terminal side is the ray where the measurement of the angle stops, therefore the terminal side defines the angle and if the vertex is at the origin (0, 0) then the angle will be in Standard Position.
