Table of Contents

Welcome to **cos 0.5**, our post aboutthe cosine of 0.5.

For the cosine of 0.5 we use the abbreviation *cos* for the trigonometric function and write it as cos 0.5.

If you have been looking for *what is cos 0.5*, or if you have been wondering about cos 0.5 radians in degrees, then you are right here, too.

In this post you can find the cos 0.5 value, along with identities.

Read on to learn all about the cos of 0.5.

## Cos 0.5 Radians

If you want to know *what is cos 0.5 radians* in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of cos 0.5:

cos 0.5 = 0.87758

cos 0.5 radians = 0.87758

The cos of 0.5 radians is 0.87758, the same as cos of 0.5 radians in degrees. To change 0.5 radians to degrees multiply 0.5 by by 180° / $\pi$ = 28.64789°. Cos 0.5 = cos 28.64789 degrees.

Our results of cos0.5 have been rounded to five decimal places. If you want cosine 0.5 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate cos 0.5 radians insert the angle 0.5 in the field labelled rad, but if you want to calculate cos 0.5 in degrees, then you have to press the swap unit button first.

### Calculate cos [radians]

The identities of cosine 0.5 are as follows:

= sin (π/2 + 0.5) = sin 2.0707963267949

= sin (π/2 – 0.5) = sin 1.0707963267949

-cos0.5

= cos (π + 0.5) = cos 3.64159265358979

= cos (π – 0.5) = cos 2.64159265358979

*n*× 2π) = cos 0.5, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 0.5), half angle ((0.5/2)) as well as the sum, difference and products of two angles such as 0.5 and β.

You can locate all of them in the respective article found in the header menu. To find everything about cos -0.5 click the link. And here is all about sin 0.5, including, for instance, a converter.

In terms of the other five trigonometric functions, cos of 0.5 =

- $\pm \sqrt{1-\sin^{2} 0.5 }$
- $\pm\frac{1}{\sqrt{1 + \tan^{2} 0.5}}$
- $\pm\frac{\cot 0.5}{\sqrt{1 + \cot^{2} 0.5}}$
- $\frac{1}{\sec 0.5}$
- $\pm\frac{\sqrt{\csc^{2} (0.5) – 1} }{\csc 0.5}$

As the cosine function is the reciprocal of the secant function, 1 / sec 0.5 = cos0.5.

In the next part we discuss the trigonometric significance of cos0.5, and there you can also learn what the search calculations form in the sidebar is used for.

## What is cos 0.5?

In a triangle which has one angle of π/2, the cosine of the angle of 0.5 is the ratio of the length of the adjacent side *a* to the length of the hypotenuse *h*: cos 0.5 = a/h.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0.5 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

As detailed in the unit-circle definition on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, x = cos 0.5.

Bringing together the triangle definition and the unit circle definition of cosine 0.5, a = x and h = r = 1. It follows that $x\hspace{5px} =\hspace{5px}\frac{adjacent}{hypotenuse}\hspace{5px}=\hspace{5px}\cos 0.5$.

Note that you can locate many terms including the cosine0.5 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos0.5.

Along the same lines, using the aforementioned form, can you look up terms such as cos 0.5 value, cos 0.5, cos0.5 value and *what is the cos of 0.5 radians*, just to name a few.

Given the periodic property of cosine of 0.5, to determine the cosine of an angle > 2π, e.g. 6.78318530717959, calculate cos 6.78318530717959 as cos (6.78318530717959 mod 2π) = cosine of 0.5, or look it up with our form.

## Conclusion

The frequently asked questions in the context include *what is cos 0.5 radians* and *what is the cos of 0.5 degrees* for example; reading our content they are no-brainers.

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