Introduction to Positive and Negative Angles:
An ANGLE is strong-minded by rotating a ray about it's endpoint. The initial location of the ray is the INITIAL SIDE of the angle, and the ending position of the ray is its TERMINAL SIDE. The endpoint of ray called the VERTEX.
The unit circle of the angle is said to be in STANDARD POSITION because its vertex is the origin, and its initial side lies on the x-axis. This is also called positive angle, meaning it's created by a COUNTERCLOCKWISE rotation.
The unit circle of angle is in standard position, but it's called a NEGATIVE ANGLE, since it is created by a CLOCKWISE rotation. I like to share this Inscribed Angles with you all through my article.
Rules of Positive and Negative angles:
Positive Angle:
An angle formed by anti-clockwise rotation is a positive angle. In the figure initial side is OX. When these side is rotated by an angle θ in counter clockwise direction then angle is generated is called positive angle.
Negative Angle:
An angle generated by clockwise rotation is a positive angle. In these diagram let the initial side is OX. When these side is rotated by an angle θ in clockwise direction then angle called as negative angle.
Rule I:
Sign of an angle is always positive when measured in anti-clockwise direction.
Rule II:
Sign of an angle is always negative when measured in clockwise direction. Understanding Volume of Right Prism is always challenging for me but thanks to all math help websites to help me out.
Example of Positive and Negative Angles:
Positive and Negative Angles:
Positive Angles start from 0 degrees and turn around counterclockwise.
Negative Angles start from 0 degrees and turn around clockwise.
You can translate your negative angle to its equivalent positive angle by adding 360 degrees to it until it turns positive.
Once it is positive, you can pleasure it the same as you would any other positive angle in the quadrant that it is in.
Example 1:
Angle is -135 degrees.
sum 360 degrees to it until it turns positive.
It turn positive then first time we add 360 degrees to it.
The equivalent is positive angle is 225 degrees.
It is in the quadrant of 3.
Example 2:
Is 300 not same as -300?
Solution:
The answer to this question is NO. Here why the angle have two attributes attached to it: Degree of rotation (or magnitude of rotation) and Direction of rotation (clockwise or anticlockwise). While those wo angles have same degree of rotation, direction of rotation is just opposite as signified by there opposite signs. Therefore those two angles are different.
An ANGLE is strong-minded by rotating a ray about it's endpoint. The initial location of the ray is the INITIAL SIDE of the angle, and the ending position of the ray is its TERMINAL SIDE. The endpoint of ray called the VERTEX.
The unit circle of the angle is said to be in STANDARD POSITION because its vertex is the origin, and its initial side lies on the x-axis. This is also called positive angle, meaning it's created by a COUNTERCLOCKWISE rotation.
The unit circle of angle is in standard position, but it's called a NEGATIVE ANGLE, since it is created by a CLOCKWISE rotation. I like to share this Inscribed Angles with you all through my article.
Rules of Positive and Negative angles:
Positive Angle:
An angle formed by anti-clockwise rotation is a positive angle. In the figure initial side is OX. When these side is rotated by an angle θ in counter clockwise direction then angle is generated is called positive angle.
Negative Angle:
An angle generated by clockwise rotation is a positive angle. In these diagram let the initial side is OX. When these side is rotated by an angle θ in clockwise direction then angle called as negative angle.
Rule I:
Sign of an angle is always positive when measured in anti-clockwise direction.
Rule II:
Sign of an angle is always negative when measured in clockwise direction. Understanding Volume of Right Prism is always challenging for me but thanks to all math help websites to help me out.
Example of Positive and Negative Angles:
Positive and Negative Angles:
Positive Angles start from 0 degrees and turn around counterclockwise.
Negative Angles start from 0 degrees and turn around clockwise.
You can translate your negative angle to its equivalent positive angle by adding 360 degrees to it until it turns positive.
Once it is positive, you can pleasure it the same as you would any other positive angle in the quadrant that it is in.
Example 1:
Angle is -135 degrees.
sum 360 degrees to it until it turns positive.
It turn positive then first time we add 360 degrees to it.
The equivalent is positive angle is 225 degrees.
It is in the quadrant of 3.
Example 2:
Is 300 not same as -300?
Solution:
The answer to this question is NO. Here why the angle have two attributes attached to it: Degree of rotation (or magnitude of rotation) and Direction of rotation (clockwise or anticlockwise). While those wo angles have same degree of rotation, direction of rotation is just opposite as signified by there opposite signs. Therefore those two angles are different.
