least positive coterminal angle

To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°if the angle is measured in degrees or 2π if the angle is measured in radians. Example 1: Find a positive and a negative angle coterminal with a 55°angle. A −305°angle and a 415°angle are coterminal with a 55°angle.

What is the smallest Coterminal angle?

Coterminal angles share initial and terminal sides. 1. −61∘ is a negative angle, so to get the smallest positive coterminal angle,

What is the reference angle of 4π 3?

(h) The reference angle for 4π/3 is π/3.

What does a positive or negative angle signify?

If the angle is measured in a counterclockwise direction from the initial side to the terminal side, the angle is said to be a positive angle. If the angle is measured in a clockwise direction, the angle is said to be a negative angle.

How do you find the reference angle of a negative angle?

To find the reference angle of a negative angle, we have to add 360° or 2π to it as many times as required to find its coterminal angle. For example, to find the reference angle of -1000°, we will add 360° three times to it. It implies, – 1000° + 3(360°) = -1000° + 1080° = 80°.

What is the reference angle for 135?

135′ is in the second quadrant, so our reference angle is 180′-135 “, or 45′ .

What is the reference angle of 150?

Looking at a graph, a 150° angle lies in quadrant II, therefore the reference angle is θ’ = 180° – 150° = 30°.

What is the reference angle of 210?

Reference angle for 210°: 30° (π / 6)

Can a positive Coterminal angle be negative?

(2π,4π,6π), to obtain positive or negative coterminal angles to your given angle. For example, if α = 1400°, then the coterminal angle in the [0,360°) range is 320° – which is already one example of a positive coterminal angle. other negative coterminal angles are -40°, -400°, -760°