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Welcome to tg 11pi/12, our post aboutthe tangent of 11pi/12.
For the tangent of 11pi/12 we use the abbreviation tg for the trigonometric function and write it as tg 11pi/12.
If you have been looking for what is tg 11pi/12, or if you have been wondering about tg 11pi/12 radians in degrees, then you are right here, too.
In this post you can find the tg 11pi/12 value, along with identities.
Read on to learn all about the tg of 11pi/12.
Tg 11Pi/12 Radians
If you want to know what is tg 11pi/12 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 tg 11pi/12:
tg 11pi/12 = -2+√3
tg 11pi/12 radians = -2+√3
The tg of 11pi/12 radians is -2+√3, the same as tg of 11pi/12 radians in degrees. To change 11pi/12 radians to degrees multiply 11pi/12 by 180° / $\pi$ = 165°. Tg 11pi/12 = tg 165 degrees.
Our results of tg11pi/12 have been rounded to five decimal places. If you want tangent 11pi/12 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tg 11pi/12 radians insert the angle 11pi/12 in decimal notation, but if you want to calculate tg 11pi/12 in degrees, then you have to press the swap unit button first.
Calculate tg [radians]
The identities of tangent 11pi/12 are as follows:
= ctg (pi/2 – 11pi/12) = ctg -5/12 pi
-tg11pi/12
= tg (-11pi/12) = -tg 11pi/12
= ctg (pi/2 + 11pi/12) = ctg 17/12 pi
= tg (pi – 11pi/12) = tg 1/12 pi
There are more formulas for the double angle (2 × 11pi/12), half angle ((11pi/12/2)) as well as the sum, difference and products of two angles such as 11pi/12 and β.
You can locate all of them in the respective article found in the header menu. To find everything about tg -11pi/12 click the link. And here is all about ctg 11pi/12, including, for instance, a converter.
In terms of the other five trigonometric functions, tg of 11pi/12 =
- $\pm\frac{\sin 11\pi/12}{\sqrt{1 – \sin^{2} 11\pi/12}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 11\pi/12}}{\cos 11\pi/12}$
- $\pm \sqrt{\sec^{2} (11\pi/12) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (11\pi/12) – 1}}$
- $\frac{1}{ctg \hspace{3px}11\pi/12}$
As the cotangent function is the reciprocal of the tangent function, 1 / ctg 11pi/12 = tg11pi/12.
In the next part of this article we discuss the trigonometric significance of tg11pi/12, and there you can also learn what the search calculations form in the sidebar is used for.
What is tg 11Pi/12?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 11pi/12 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 11pi/12, x = cos 11pi/12 and tg 11pi/12 = sin 11pi/12/cos 11pi/12.
Note that you can locate many terms including the tangent11pi/12 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tg11pi/12.
Along the same lines, using the aforementioned form, can you look up terms such as tg 11pi/12 value, tg 11pi/12, tg11pi/12 value and what is the tg of 11pi/12 radians, just to name a few.
Given the periodicity of tangent of 11pi/12, to determine the tangent of an angle > pi, e.g. 59/12 pi, calculate tg 59/12 pi as tg (59/12 pi mod pi) = tangent of 11pi/12, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tg 11pi/12 radians and what is the tg of 11pi/12 radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017