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Welcome to tg 4pi/3, our post aboutthe tangent of 4pi/3.
For the tangent of 4pi/3 we use the abbreviation tg for the trigonometric function and write it as tg 4pi/3.
If you have been looking for what is tg 4pi/3, or if you have been wondering about tg 4pi/3 radians in degrees, then you are right here, too.
In this post you can find the tg 4pi/3 value, along with identities.
Read on to learn all about the tg of 4pi/3.
Tg 4Pi/3 Radians
If you want to know what is tg 4pi/3 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 4pi/3:
tg 4pi/3 = √3
tg 4pi/3 radians = √3
The tg of 4pi/3 radians is √3, the same as tg of 4pi/3 radians in degrees. To change 4pi/3 radians to degrees multiply 4pi/3 by 180° / $\pi$ = 240°. Tg 4pi/3 = tg 240 degrees.
Our results of tg4pi/3 have been rounded to five decimal places. If you want tangent 4pi/3 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tg 4pi/3 radians insert the angle 4pi/3 in decimal notation, but if you want to calculate tg 4pi/3 in degrees, then you have to press the swap unit button first.
Calculate tg [radians]
The identities of tangent 4pi/3 are as follows:
= ctg (pi/2 – 4pi/3) = ctg -5/6 pi
-tg4pi/3
= tg (-4pi/3) = -tg 4pi/3
= ctg (pi/2 + 4pi/3) = ctg 11/6 pi
= tg (pi – 4pi/3) = tg -1/3 pi
There are more formulas for the double angle (2 × 4pi/3), half angle ((4pi/3/2)) as well as the sum, difference and products of two angles such as 4pi/3 and β.
You can locate all of them in the respective article found in the header menu. To find everything about tg -4pi/3 click the link. And here is all about ctg 4pi/3, including, for instance, a converter.
In terms of the other five trigonometric functions, tg of 4pi/3 =
- $\pm\frac{\sin 4\pi/3}{\sqrt{1 – \sin^{2} 4\pi/3}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 4\pi/3}}{\cos 4\pi/3}$
- $\pm \sqrt{\sec^{2} (4\pi/3) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (4\pi/3) – 1}}$
- $\frac{1}{ctg \hspace{3px}4\pi/3}$
As the cotangent function is the reciprocal of the tangent function, 1 / ctg 4pi/3 = tg4pi/3.
In the next part of this article we discuss the trigonometric significance of tg4pi/3, and there you can also learn what the search calculations form in the sidebar is used for.
What is tg 4Pi/3?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 4pi/3 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 4pi/3, x = cos 4pi/3 and tg 4pi/3 = sin 4pi/3/cos 4pi/3.
Note that you can locate many terms including the tangent4pi/3 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tg4pi/3.
Along the same lines, using the aforementioned form, can you look up terms such as tg 4pi/3 value, tg 4pi/3, tg4pi/3 value and what is the tg of 4pi/3 radians, just to name a few.
Given the periodicity of tangent of 4pi/3, to determine the tangent of an angle > pi, e.g. 16/3 pi, calculate tg 16/3 pi as tg (16/3 pi mod pi) = tangent of 4pi/3, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tg 4pi/3 radians and what is the tg of 4pi/3 radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017