Value of cos2π
In this Trigonometric angle value based article, we have to find the Value of Cos 2 pi which is important for upcoming school and government level exams. In addition, The cosine of 2 pi (2π) or Value of Cos 2 pi is equal to 1. This can be seen from the unit circle, which is a circle with a radius of 1 centered at the origin of the coordinate plane. The unit circle is used to define the trigonometric functions for all angles, including those beyond the range of 0 to 90 degrees.
Value of Cos 2 pi : The cosine function is defined as the x-coordinate of the point on the unit circle that is at an angle of θ from the positive x-axis. In other words, the cosine of an angle θ is the horizontal distance from the origin to the point on the unit circle that is at an angle θ.
For the angle of 2 pi (2π) radians, the point on the unit circle is on the positive x-axis, which is the same as the point (1, 0). Therefore, the Value of Cos 2 pi (2π) is 1.
You can also verify this using the formula for the cosine function: cos θ = x/r, where x is the x-coordinate of the point on the unit circle, r is the radius of the circle (which is 1 in the case of the unit circle), and θ is the angle in radians.
Substituting the values for x, r, and θ, we have: cos 2π = 1/1
cos 2π = 1
Therefore, the Value of Cos 2 pi or cosine of 2 pi (2π) is 1.
Value of Cos pi
The cosine of pi (π) is equal to -1. This can be seen from the unit circle, which is a circle with a radius of 1 centered at the origin of the coordinate plane. The unit circle is used to define the trigonometric functions for all angles, including those beyond the range of 0 to 90 degrees.
The cosine function is defined as the x-coordinate of the point on the unit circle that is at an angle of θ from the positive x-axis. In other words, the cosine of an angle θ is the horizontal distance from the origin to the point on the unit circle that is at an angle θ.
For the angle of pi (π) radians, the point on the unit circle is on the negative x-axis, which is the same as the point (-1, 0). Therefore, the cosine of pi (π) is -1.
You can also verify this using the formula for the cosine function: cos θ = x/r, where x is the x-coordinate of the point on the unit circle, r is the radius of the circle (which is 1 in the case of the unit circle), and θ is the angle in radians.
Substituting the values for x, r, and θ, we have: cos π = (-1)/1
cos π = -1
Therefore, the cosine of pi (π) is -1.
Download Subject wise Free Pdf Notes in Hindi and English
Moreover, Download Free Study Material For each and every competitive exam. Subject wise Links for Handwritten Class Notes in Hindi and English.
| History Notes – Click | Geography Notes – Click |
| Indian Polity Notes – Click | Economics Notes – Click |
| General Science Notes – Click | Current Affairs Notes – Click |
| Maths Notes – Click | Reasoning Notes – Click |
| English Grammar Notes – Click | General Hindi Notes – Click |
| Science and Tech Notes – Click | Art and Culture Notes – Click |
| Psychology Notes – Click | Environment and Ecology – Click |
| Sanskrit Notes- Click | Ethics Notes – Click |
| Computer Awareness – Click | Banking Awareness Notes – Click |
| International Relations – Click | Important Questions PDF – Click |
| General Knowledge PDF – Click |
| Please Support us By Following our Social Media Channels |
|---|
| Telegram Channel —- Join Now !! |
| Facebook Page —- Join Now !! |
| Facebook Group —- Join Now !! |