What is the terminal side of a right triangle?

The vertex is always placed at the origin and one ray is always placed on the positive x-axis. This ray is called the initial side of the angle. The other ray is called the terminal side of the angle.

How do you find the terminal side?

Positive Angles: Positive angles are angles such that their initial side is the positive x-axis and their “terminal” side is determined by turning in a counterclockwise direction.

What is the terminal side of 90 degrees?

The angles measuring between 90 and 180 degrees have their terminal sides in Quadrant II. Angles measuring between 180 and 270 have their terminal sides in Quadrant III, and those measuring between 270 and 360 have their terminal sides in Quadrant IV.

Is the terminal side the hypotenuse?

The description of two angles drawn in standard position that share their terminal side. Any part of a graph of a periodic function that is one period long. The side opposite the right angle in any right triangle. The hypotenuse is the longest side of any right triangle.

What is initial side and 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.

What does Terminal side mean math?

Definition of terminal side



: a straight line that has been rotated around a point on another line to form an angle measured in a clockwise or counterclockwise direction — compare initial side.

How do you find the terminal angle?

Video quote: Here is the quick way of getting the answer you need to add 360 degrees and you need to subtract 360 or take away 360 from 30. So the positive coterminal angle is going to be 30 plus 360 which is 390.

What quadrant is the terminal side?

Video quote: And just to make sure we remember when both the x and y coordinates are positive in this region here this is quadrant. 1 when X is negative and Y is positive we're in quadrant two. And if both x and y

What are terminal and Coterminal angles?

The initial side of an angle is the ray where the measurement of an angle starts. 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.

How do you find the terminal side of a negative angle?

Video quote: It's in the negative direction so therefore all the way around would be 180. Degrees. So that's negative 150 degrees remember it has to go in the negative direction. So therefore this is going to be

What is the terminal point of 270 degree?

The terminal side of the angle is on the y-axis. Hence, that angle 270∘ is a Quadrantal Angle. Hope it helps.

What is the terminal point for 2pi?

The terminal point determined by -π/2 is (0, -1).

What is the terminal point of 0?

Terminal Point on the Unit Circle. To find the terminal point on the unit circle, start at (1,0), measure the angle in degree or radian on the circle (move counter clockwise if the angle is positive and clockwise if the angle is negative.) The coordinate of the endpoint is called the terminal point.

What is the terminal point for 4pi 3?

E.g. The terminal side of 4π 3 is in the third quadrant. E.g. The terminal side of 16π 7 is in the first quadrant. E.g. The terminal side of π is the negative x−axis.

What angle is pi over 6?

Table of angles

In which quadrant does the terminal side of θ 4π3 fall?

third quadrant

Convert to a decimal. The angle is in the third quadrant.

What quadrant is the terminal side of the angle in if the arc length is 4 radians?

third quadrant

Solution. The pond is a unit circle, so you have traversed an angle in radians equal to the arc length traveled, 4 miles. An angle of 4 radians is in the middle of the third quadrant relative to your starting point, more than halfway but less than three-quarters around the pond.

Which ray is the terminal side of a 90 angle in standard position?

Video quote: And this is your initial ray this is your terminal a terminal ray.

Which angle has its terminal side in the fourth quadrant?

Quadrants & Quadrantal Angles



Angles between 0∘ and 90∘ are in the first quadrant. Angles between 90∘ and 180∘ are in the second quadrant. Angles between 180∘ and 270∘ are in the third quadrant. Angles between 270∘ and 360∘ are in the fourth quadrant.