Table of Contents
Welcome to cot 1, our post aboutthe cotangent of 1.
For the cotangent of 1 we use the abbreviation cot for the trigonometric function and write it as cot 1.
If you have been looking for what is cot 1, or if you have been wondering about cot 1 radian in degrees, then you are right here, too.
In this post you can find the cot 1 value, along with identities.
Read on to learn all about the cot of 1.
Cot 1 Radian
If you want to know what is cot 1 radian in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of cot 1:
cot 1 = 0.64209
cot 1 radian = 0.64209
The cot of 1 radian is 0.64209, the same as cot of 1 radian in degrees. To change 1 radian to degrees multiply 1 by 180° / $\pi$ = 57.29578°. Cot 1 = cot 57.29578 degrees.
Our results of cot1 have been rounded to five decimal places. If you want cotangent 1 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate cot 1 radian insert the angle 1 in the field labelled rad, but if you want to calculate cot 1 in degrees, then you have to press the swap unit button first.
Calculate cot [radians]
The identities of cotangent 1 are as follows:
= tan (π/2 – 1) = tan 0.570796326794897
-cot1
= cot (-1) = -cot 1
= tan (π/2 + 1) = tan 2.5707963267949
= cot (π – 1) = cot 2.14159265358979
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 cot -1 click the link. And here is all about tan 1, including, for instance, a converter.
In terms of the other five trigonometric functions, cot of 1 =
- $\pm\frac{\sqrt{1 – \sin^{2} 1}}{\sin 1}$
- $\pm\frac{\cos 1}{\sqrt{1 – \cos^{2} 1}}$
- $\pm \sqrt{\csc^{2} (1) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (1) – 1}}$
- $\frac{1}{\tan 1}$
As the tangent function is the reciprocal of the cotangent function, 1 / tan 1 = cot1.
In the next part of this article we discuss the trigonometric significance of cot1, and there you can also learn what the search calculations form in the sidebar is used for.
What is cot 1?
In a triangle which has one angle of π/2, the cotangent of the angle of 1 is the ratio of the length of the adjacent side a to the length of the opposite side o: cot 1 = a/o.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 1 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.
Applying the unit-circle definition found on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, y = sin 1, x = cos 1 and cot 1 = cos 1/sin 1.
Bringing together the triangle definition and the unit circle definition of cotangent 1, a = x, o = y and h = r = 1. It follows that $x/y\hspace{5px} =\hspace{5px}\frac{adjacent}{opposite}\hspace{5px}=\hspace{5px}\cot 1$.
Note that you can locate many terms including the cotangent1 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cot1.
Along the same lines, using the aforementioned form, can you look up terms such as cot 1 value, cot 1, cot1 value and what is the cot of 1 radian, just to name a few.
Given the periodicity of cotangent of 1, to determine the cotangent of an angle > π, e.g. 7.28318530717959, calculate cot 7.28318530717959 as cot (7.28318530717959 mod π) = cotangent of 1, or use our form.
Conclusion
The frequently asked questions in the context include what is cot 1 radian and what is the cot of 1 radian for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 19th, 2017