## Cos 60 degree

The value of cos 60 degree is Â (0.5 in decimal form) or 1/2. Trigonometry is used in right angled triangles to calculate parameters such as the length, height, and angle of the triangle.

There are six types of trigonometric functions which we use primarily. They are

- sine
- cosine
- tangent
- cotangent
- secant
- cosecant

The standard angles of the trigonometric ratios are 0Â°, 30Â°, 45Â° 60Â°, 90Â°.

Read about value of root 2 and square root of 2.

## Cos 60 degree value

Trigonometric functions such as sine and cosine are used in the theory of periodic functions. These periodic functions are used to describe the light and sound waves. It is also used in oceanography to calculate the height of tides in oceans. Apart from these applications, trigonometry is also used by astronauts, physicists, and engineers.

## What is the value of cos 60 degree in fraction?

- The value of cos 60Â° is Â (0.5 in decimal form).
- cos 60-degree fraction value is= 1/2
**.** - You can also derive cos 60Â° value by having a look at the next section.

## Value of Cos 60 degree

Follow the instructions given below to derive the value of cos 60Â°.

Consider a unit circle in the Cartesian plane. The plane can be divided into four quadrants. The cos 60Â° value takes place in the first quadrant.

90Â° – 30Â° = 60Â° (Equation 1)

sin (90Â° â€“ a) = cos a (Trigonometric formula)

Now, we can write the value of cos 60Â° as,

sin (90Â° â€“ 60Â°) = cos 60Â° (Using the trigonometric formula)

- sin 30Â° = cos 60Â° (Equation 2)

Since the value of sin 30Â° is , by substituting the value of sin 30Â° in equation 2 we get,

- Â = cos 60Â°

Hence the value of cos 60Â° is .

**Alternatively,**

In right angled triangle ABD,

AB^{2}Â = AD^{2}+ BD^{2}

2^{2Â }= AD^{2Â }+ 1^{2}

AD^{2}Â = 2^{2Â }-1^{2}

AD^{2}Â = 4 â€“ 1

AD^{2}Â = 3

AD = âˆš3

Hence,

sin 60Â° ^{Â }= AD/AB = âˆš3/2

tan* 60Â°* =AD/BD =âˆš3/1

cos* 60Â°=* 1/2

Read about table of 6.Â

## Cos 60 degree Value from Trigonometry Table

Angle in Degrees | 0Â° | 30Â° | 45Â° | 60Â° | 90Â° |

Angle in Radians | 0 | Ï€/6 | Ï€/4 | Ï€/3 | Ï€/2 |

sin | 0 | 1/2 | 1/âˆš2 | âˆš3/2 | 1 |

cos | 1 | âˆš3/2 | 1/âˆš2 | 1/2 | 0 |

tan | 0 | 1/âˆš3 | 1 | âˆš3 | Not defined |

cosec | Not defined | 2 | âˆš2 | 2/âˆš3 | 1 |

sec | 1 | 2/âˆš3 | âˆš2 | 2 | Not defined |

cot | Not defined | âˆš3 | 1 | 1/âˆš3 | 0 |

**Â **

Trigonometric Angle Values

For the above triangle, we can determine the three angles namely sin, cos, and tan by using

sin =Â Perpendicular/Hypotenuse

cos =Â Base/Hypotenuse

tan = Perpendicular/Base

## FAQs for Cos 60 degree value

**What is the value cos 30Â°?**

The value of cos 30 degree isÂ 1/âˆš2.

**How do you find the value of sin 30Â°?**

The value of sin 30 degree is 1/2

**What is Cos squared of 60Â°?**

Value of Cos 60 degree is Â in fractional form and 0.5 in decimal form. (Cos 60)*(Cos 60) is . And in decimal form it will be 0.25.

**What is trigonometry formula?**

Trigonometry formula are the formulas which are used to solve the trigonometry problems in maths.