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Cos 60 Value: Check Cos 60° ka Maan

Cosine is a fundamental trigonometric function, representing the ratio of the adjacent side to the hypotenuse in a right-angled triangle. One of the most commonly known values in trigonometry is cos 60°, equal to 0.5. This value is widely used in mathematics, physics, and engineering to simplify calculations and solve problems involving angles and distances. Understanding cos 60° is essential because it serves as a basis for many mathematical concepts and applications, from constructing angles to calculating forces in physics. This article explores the importance, derivation, and applications of cos 60° in various fields, showcasing its practical significance.

Cos 60 degree

right angle triangle

The value of cos 60 degree is  (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 0°, 30°, 45° 60°, 90°.

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 60° is  (0.5 in decimal form).
  • cos 60-degree fraction value is= 1/2 .
  • You can also derive cos 60° 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 60°.

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

 

90° – 30° = 60° (Equation 1)

sin (90° – a) = cos a (Trigonometric formula)

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

sin (90° – 60°) = cos 60° (Using the trigonometric formula)

  • sin 30° = cos 60° (Equation 2)

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

  •  = cos 60°

Hence the value of cos 60° is .

Alternatively,

cos 60 value

In right angled triangle ABD,

AB2 = AD2+ BD2

2= AD+ 12

AD2 = 2-12

AD2 = 4 – 1

AD2 = 3

AD = √3

Hence,

sin 60°  = AD/AB = √3/2

tan 60° =AD/BD =√3/1

cos 60°= 1/2

Read about table of 6. 

Cos 60 degree Value from Trigonometry Table

 

Angle in Degrees 30° 45° 60° 90°
Angle in Radians 0 π/6 π/4 π/3 π/2
sin 0 1/2 1/√2 √3/2 1
cos 1 √3/2 1/√2 1/2 0
tan 0 1/√3 1 √3 Not defined
cosec Not defined 2 √2 2/√3 1
sec 1 2/√3 √2 2 Not defined
cot Not defined √3 1 1/√3 0

 

Trigonometric Angle Values

right angle triangle

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

sin =  Perpendicular/Hypotenuse

cos =  Base/Hypotenuse

tan = Perpendicular/Base

Cos 60 ka Man in Hindi

का मान

12\frac{1}{2}

होता है।

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FAQs

What is the value cos 30?

You can either refer to the table of trigonometry values written above or can find out by calculating Adjacent side/Hypotenuse.

How do you find the value of sin 30?

The value of sin 30 is ½. Alternatively, calculate the Adjacent side/Hypotenuse.

What is cos squared of 60?

Cos squared 60 is 0.5

What is trigonometry formula?

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