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Welcome to ctg 106°, our post aboutthe cotangent of 106 degrees.
For the cotangent of 106 degrees we use the abbreviation ctg for the trigonometric function together with the degree symbol °, and write it as ctg 106°.
If you have been looking for what is ctg 106°, or if you have been wondering about ctg 106 degrees in radians, then you are right here, too.
In this post you can find the ctg 106° value, along with identities.
Read on to learn all about the ctg of 106°.
Ctg 106 Degrees
If you want to know what is ctg 106 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 ctg 106°:
ctg 106° = -0.28675
ctg 106 degrees = -0.28675
The ctg of 106 degrees is -0.28675, the same as ctg of 106 degrees in radians. To obtain 106 degrees in radian multiply 106° by $\pi$ / 180° = 53/90 $\pi$. Ctg 106degrees = ctg (53/90 × $\pi)$.
Our results of ctg106° have been rounded to five decimal places. If you want cotangent 106° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate ctg 106 degrees insert the angle 106 in the field labelled °, but if you want to calculate ctg 106 in radians, then you have to press the swap unit button first.
Calculate ctg [degrees]
The identities of cotangent 106° are as follows:
= tg (90°-106°) = tg -16°
-ctg106°
= ctg (-106°) = -ctg 106°
= tg (90°+106°) = tg 196°
= ctg (180°-106°) = ctg 74°
There are more formulas for the double angle (2 × 106°), half angle ((106/2)°) as well as the sum, difference and products of two angles such as 106° and β.
You can locate all of them in the respective article found in the header menu. To find everything about ctg -106° click the link. And here is all about tg 106°, including, for instance, a converter.
In terms of the other five trigonometric functions, ctg of 106° =
- $\pm\frac{\sqrt{1 – \sin^{2} 106^\circ}}{\sin 106^\circ}$
- $\pm\frac{\cos 106^\circ}{\sqrt{1 – \cos^{2} 106^\circ}}$
- $\pm \sqrt{\csc^{2} 106^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 106^\circ – 1}}$
- $\frac{1}{tg\hspace{3px}106^\circ}$
As the tangent function is the reciprocal of the cotangent function, 1 / tg 106° = ctg106°.
In the next part of this article we discuss the trigonometric significance of ctg106°, and there you can also learn what the search calculations form in the sidebar is used for.
What is ctg 106°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 106 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 106°, x = cos 106° and ctg 106° = cos 106°/sin 106°.
Note that you can locate many terms including the cotangent106° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of ctg106°.
Along the same lines, using the aforementioned form, can you look up terms such as ctg 106° value, ctg 106, ctg106° value and what is the ctg of 106 degrees, just to name a few.
Given the periodicity of cotangent of 106°, to determine the cotangent of an angle > 180°, e.g. 826°, calculate ctg 826° as ctg (826 Mod 180)° = cotangent of 106°, or use our form.
Conclusion
The frequently asked questions in the context include what is ctg 106 degrees and what is the ctg of 106 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017