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Welcome to cot 53°, our post aboutthe cotangent of 53 degrees.
For the cotangent of 53 degrees we use the abbreviation cot for the trigonometric function together with the degree symbol °, and write it as cot 53°.
If you have been looking for what is cot 53°, or if you have been wondering about cot 53 degrees in radians, then you are right here, too.
In this post you can find the cot 53° value, along with identities.
Read on to learn all about the cot of 53°.
Cot 53 Degrees
If you want to know what is cot 53 degrees 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 53°:
cot 53° = 0.75355
cot 53 degrees = 0.75355
The cot of 53 degrees is 0.75355, the same as cot of 53 degrees in radians. To obtain 53 degrees in radian multiply 53° by $\pi$ / 180° = 53/180 $\pi$. Cot 53degrees = cot (53/180 × $\pi)$.
Our results of cot53° have been rounded to five decimal places. If you want cotangent 53° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate cot 53 degrees insert the angle 53 in the field labelled °, but if you want to calculate cot 53 in radians, then you have to press the swap unit button first.
Calculate cot [degrees]
The identities of cotangent 53° are as follows:
= tan (90°-53°) = tan 37°
-cot53°
= cot (-53°) = -cot 53°
= tan (90°+53°) = tan 143°
= cot (180°-53°) = cot 127°
There are more formulas for the double angle (2 × 53°), half angle ((53/2)°) as well as the sum, difference and products of two angles such as 53° and β.
You can locate all of them in the respective article found in the header menu. To find everything about cot -53° click the link. And here is all about tan 53°, including, for instance, a converter.
In terms of the other five trigonometric functions, cot of 53° =
- $\pm\frac{\sqrt{1 – \sin^{2} 53^\circ}}{\sin 53^\circ}$
- $\pm\frac{\cos 53^\circ}{\sqrt{1 – \cos^{2} 53^\circ}}$
- $\pm \sqrt{\csc^{2} 53^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 53^\circ – 1}}$
- $\frac{1}{\tan 53^\circ}$
As the tangent function is the reciprocal of the cotangent function, 1 / tan 53° = cot53°.
In the next part of this article we discuss the trigonometric significance of cot53°, and there you can also learn what the search calculations form in the sidebar is used for.
What is cot 53°?
In a triangle which has one angle of 90 degrees, the cotangent of the angle of 53° is the ratio of the length of the adjacent side a to the length of the opposite side o: cot 53° = a/o.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 53 degrees 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 53°, x = cos 53° and cot 53° = cos 53°/sin 53°.
Bringing together the triangle definition and the unit circle definition of cotangent 53 degrees, a = x, o = y and h = r = 1. It follows that $x/y\hspace{5px} =\hspace{5px}\frac{adjacent}{opposite}\hspace{5px}=\hspace{5px}\cot 53^\circ$.
Note that you can locate many terms including the cotangent53° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cot53°.
Along the same lines, using the aforementioned form, can you look up terms such as cot 53° value, cot 53, cot53° value and what is the cot of 53 degrees, just to name a few.
Given the periodicity of cotangent of 53°, to determine the cotangent of an angle > 180°, e.g. 773°, calculate cot 773° as cot (773 Mod 180)° = cotangent of 53°, or use our form.
Conclusion
The frequently asked questions in the context include what is cot 53 degrees and what is the cot of 53 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 19th, 2017