Conterminal definitions
| Word backwards | lanimretnoc |
|---|---|
| Part of speech | Conterminal is an adjective. |
| Syllabic division | con-ter-mi-nal |
| Plural | The plural form of conterminal is conterminals. |
| Total letters | 11 |
| Vogais (4) | o,e,i,a |
| Consonants (6) | c,n,t,r,m,l |
Conterminal refers to two or more angles that share the same initial side and terminal side. In simpler terms, conterminal angles have one side in common and lay on the same line, known as the initial and terminal sides.
Properties of Conterminal Angles
Conterminal angles always add up to a multiple of 360 degrees. This is because as they lie on the same line, the total measure of the angles equals the full rotation of a circle, which is 360 degrees. Conterminal angles also have the same sine, cosine, and tangent values.
Example of Conterminal Angles
For instance, if one angle measures 30 degrees and another angle is conterminal to it, then the second angle would be 390 degrees (30 + 360). This is because both angles share the same initial side and terminal side.
Applications of Conterminal Angles
Conterminal angles are frequently used in trigonometry and geometry to solve various mathematical problems. Understanding conterminal angles allows for simplifying calculations and making trigonometric functions more manageable.
Conclusion
In conclusion, conterminal angles play a crucial role in mathematics, particularly in trigonometry. By sharing the same initial and terminal sides, conterminal angles simplify mathematical calculations and provide a foundation for more complex geometric and trigonometric concepts.
Conterminal Examples
- The two buildings share a conterminal wall along their property lines.
- The rivers flowing through the region are conterminal, eventually merging into one stream.
- The conterminal highways provide a direct route from the city to the countryside.
- The conterminal interests of the two parties led to a successful partnership.
- The conterminal goals of the team members helped them work together effectively.
- The conterminal timelines for the projects ensured a smooth transition between phases.
- The conterminal boundaries of the properties made it difficult to determine ownership.
- The conterminal philosophies of the two authors could be seen in their similar writing styles.
- The conterminal values of the organization guided decision-making processes.
- The conterminal beliefs of the community members created a sense of unity among them.