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Cos 1°

Welcome to cos 1°, our post aboutthe cosine of 1 degree.

For the cosine of 1 degree we use the abbreviation cos for the trigonometric function together with the degree symbol °, and write it as cos 1°.

If you have been looking for what is cos 1°, or if you have been wondering about cos 1 degree in radians, then you are right here, too.

In this post you can find the cos 1° value, along with identities.

Read on to learn all about the cos of 1°.

Cos 1 Degree

If you want to know what is cos 1 degree 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 1°:

cos1° = 0.99985
cos 1° = 0.99985
cos 1 degree = 0.99985

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The cos of 1 degree is 0.99985, the same as cos of 1 degree in radians. To obtain 1 degree in radian multiply 1° by $\pi$ / 180° = 1/180 $\pi$. Cos 1degree = cos (1/180 × $\pi)$.

Our results of cos1° have been rounded to five decimal places. If you want cosine 1° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate cos 1 degree insert the angle 1 in the field labelled °, but if you want to calculate cos 1 in radians, then you have to press the swap unit button first.

Calculate cos [degrees]

A Really Cool Cosine Calculator and Useful Information! Please ReTweet. Click To TweetBesides cos1°, similar trigonometric calculations on our site include, but are not limited, to:

The identities of cosine 1° are as follows:

cos1°
= sin (90°+1°) = sin 91°
= sin (90°-1°) = sin 89°

-cos1°
= cos (180°+1°) = cos 181°
= cos (180°-1°) = cos 179°

Note that cos1° is periodic: cos (1° + n × 360°) = cos 1 degree, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 1°), half angle ((1/2)°) as well as the sum, difference and products of two angles such as 1° and β.

You can locate all of them in the respective article found in the header menu. To find everything about cos -1° click the link. And here is all about sin 1°, including, for instance, a converter.

In terms of the other five trigonometric functions, cos of 1° =

  • $\pm \sqrt{1-\sin^{2} 1 ^\circ}$
  • $\pm\frac{1}{\sqrt{1 + \tan^{2} 1^\circ}}$
  • $\pm\frac{\cot 1^\circ}{\sqrt{1 + \cot^{2} 1^\circ}}$
  • $\frac{1}{\sec 1^\circ}$
  • $\pm\frac{\sqrt{\csc^{2} 1^\circ – 1} }{\csc 1^\circ}$

As the cosine function is the reciprocal of the secant function, 1 / sec 1° = cos1°.

In the next part we discuss the trigonometric significance of cos1°, and there you can also learn what the search calculations form in the sidebar is used for.

What is cos 1°?

In a triangle which has one angle of 90 degrees, the cosine of the angle of 1° is the ratio of the length of the adjacent side a to the length of the hypotenuse h: cos 1° = a/h.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 1 degree 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 1°.

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

Note that you can locate many terms including the cosine1° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos1°.

Along the same lines, using the aforementioned form, can you look up terms such as cos 1° value, cos 1, cos1° value and what is the cos of 1 degree, just to name a few.

Given the periodic property of cosine of 1°, to determine the cosine of an angle > 360°, e.g. 721°, calculate cos 721° as cos (721 Mod 360)° = cosine of 1°, or look it up with our form.

Conclusion

Cos 1°The frequently asked questions in the context include what is cos 1 degrees and what is the cos of 1 degree for example; reading our content they are no-brainers.

But, if there is something else about cosine 1° you would like to know, fill in the form on the bottom of this post, or send us an email with a subject line such as cosine 1 degrees.

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Thanks for visiting cos1 degrees.

– Article written by Mark, last updated on February 17th, 2017

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