Sine and Cosine Functions
Following graph represents the key difference between both sine and cosine function:
Difference between Sine and Cosine Functions
Following table lists the differences between sine and cosine function –
Sine Function | Cosine Function |
---|---|
In a unit circle, sine of an angle is the projection of the hypotenuse on the y-axis. | In a unit circle, cosine of an angle is the projection of the hypotenuse on the x-axis. |
sin(θ) = Height of the right angled triangle / Length of the hypotenuse | cos(θ) = Base of the right angled triangle / Length of the hypotenuse |
Its value is 0 at 0°, 180° and 360°. | Its value is 0 at 90° and 270°. |
Its value is maximum i.e., 1 at 90°. | Its value is maximum i.e., 1 at 0° and 360°. |
Its value is minimum i.e., -1 at 270°. | Its value is minimum i.e., -1 at 180°. |
Cosine Function
the Cosine function or the cos function in short is one of the six Trigonometric Functions fundamental to trigonometry. Cosine in Trigonometry is given as the ratio of the base to the hypotenuse of a right-angled triangle. Cosine Function is represented as Cos x where x is the angle for which the cosine ratio is calculated. In terms of function, we can say that x is the input or the domain of the cosine function.
It is extensively used in a wide range of subjects like Physics, Geometry, and Engineering among others generally by leveraging its periodic nature. For example, it is used to define the wave nature of sound waves, calculations of electric flux through a plane surface, etc. In this article, we learn in detail about what is cosine function, the domain and range of the cosine function, the period, and the graph of the cosine function.
Table of Content
- What is the Cosine Function?
- Cos in Unit Circle
- Cosine Function Graph
- Inverse of cosine function
- Cosine Function in Calculus
- Cos Function Identities