Cos 60 As A Fraction
The value of cos 60 is 1/2. Trigonometry is used to study the measurements of right-angled triangles that deals with the parameters such every bit length, height and angles of the triangle. Information technology has an enormous application in the real world. Apart from Mathematics, it has a wide range of applications in various fields like engineering science, compages, medical imaging, satellite navigation, and the development of audio waves etc. Some applications use the wave pattern of trigonometric functions to produce audio and light waves.
How to derive the value of Cos lx Degrees?
The value of cos 60 degrees tin be represented in terms of different angles like 0°, 90°, 180° and 270° and also with the assist of some other trigonometric sine functions. Consider the unit circle in the Cartesian plane. The Cartesian aeroplane is divided into four quadrants. The value of cos 60 takes place in the commencement quadrant.
Some degree values of sine functions and cosine functions are taken from the trigonometry tabular array to notice the value of cos sixty degrees.
We know that
90° – 30° = sixty° ———– (1)
From the trigonometry formula,
sin (90° – a) = cos a
We can find the value of cos 60
We tin write it as
Sin (90° – 60°) = cos threescore°
Sin 30° = cos sixty° ——(2)
Nosotros know that the value of sin 30 degrees is ½
Now substitute the value in (2)
½ = cos sixty°
Therefore, the value of cos sixty degrees is ½
Cos 60° = one/ii
The other values of trigonometric ratios for different angles are given here
| Trigonometry Ratio Table | ||||||||
| Angles (In Degrees) | 0 | xxx | 45 | 60 | 90 | 180 | 270 | 360 |
| Angles (In Radians) | 0 | π/6 | π/4 | π/3 | π/2 | π | 3π/2 | 2π |
| sin | 0 | ane/2 | 1/√2 | √three/2 | 1 | 0 | −1 | 0 |
| cos | 1 | √three/2 | 1/√2 | 1/2 | 0 | −1 | 0 | 1 |
| tan | 0 | 1/√3 | 1 | √three | Not Defined | 0 | Not Defined | 0 |
| cot | Not Defined | √3 | one | 1/√3 | 0 | Not Defined | 0 | Not Divers |
| cosec | Non Defined | 2 | √2 | 2/√3 | ane | Not Defined | −1 | Non Defined |
| sec | 1 | ii/√3 | √ii | ii | Not Divers | −i | Not Divers | 1 |
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Cos 60 As A Fraction,
Source: https://byjus.com/maths/value-of-cos-60/#:~:text=The%20value%20of%20cos%2060%20is%201%2F2.
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