Cosine Calculator
This Cosine Calculator is a handy tool for finding the cosine of an angle in the right-angled triangle. You can use it to calculate an angle cosine value either in degrees or radians. Just give the angle as input and select its unit and hit the calculate button to avail the exact result within no time.
Cos(x) Calculator: Do you want to analyse the cosine of an angle in a simple way? If yes, make use of the easy-to-operate tool Cosine Calculator over here and make calculations simpler. Read on to know the steps to calculate the cos of an angle, its definition, formula and solved examples.
How to Calculate Cosine of an Angle?
These are the simple steps to find the cos of an angle easily and quickly. Go through then and follow to obtain the result.
- Get the angle value either in degrees or radians.
- Then find the cos of the given angle value.
- Divide the adjacent side value by the hypotenuse to obtain the cosine.
Cosine Formula | Cos Table
The cosine function is defined as the ratio of the length of the base to the length of the hypotenuse in a right-angled triangle. In the shot, cosine is also called cos. It is represented as cosθ, where θ is the angle between two sides.
The formula to calculate cosine value is cosθ = length of the base/length of the hypotenuse
If A, B, C are the vertices and a, b, c are the sides opposite to those vertices, the law of cosines formulas are listed here.
- a² = b² + c² - 2bc·cosA
- b² = c² + a² - 2ca·cosB
- c² = a² + b² - 2ab·cosC
Cosine Table:
| x (deg) |
x (rad) |
cos x |
|---|---|---|
| 180° | π | -1 |
| 150° | 5π/6 | -√3/2 |
| 135° | 3π/4 | -√2/2 |
| 120° | 2π/3 | -1/2 |
| 90° | π/2 | 0 |
| 60° | π/3 | 1/2 |
| 45° | π/4 | √2/2 |
| 30° | π/6 | √3/2 |
| 0° | 0 | 1 |
Example:
Find the cosine value if the θ = 15°?
Solution:
Given θ = 15°
cos15° = 0.96592583
Step by Step Process to Use Cosine Calculator
- Provide the angle in the specified input field.
- Select the unit of angle.
- Press the calculate button to check the cos of an angle.
Arithmetic Calculators has got concepts like trigonometry, arithmetic, geometry, maths and many more along with their relevant calculators all one under one roof.
FAQ's on Cos Calculator
1. What does mean by cosine?
Cosine is one of the trigonometric functions that is referred to as cos. It is the ratio of the adjacent side to the hypotenuse in a right-angled triangle. The formula that define cosine function is cos x = (adjacent side)/hypotenuse. Here x is the angle, the adjacent side is the side that is adjacent to x and the hypotenuse is the longest side in the triangle.
2. What is the value of cos?
The value of cos 1° = 0.9998477 or cos(1 radian) = 0.540302.
3. What is the laws of cosine?
The law of cosines states that the square of any one side of the triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.
4. How to find the cosine of an angle on calculator?
To know the cosine of an angle on a calculator, give the angle and tap the calculate button.
