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Welcome to tg 120°, our post aboutthe tangent of 120 degrees.
For the tangent of 120 degrees we use the abbreviation tg for the trigonometric function together with the degree symbol °, and write it as tg 120°.
If you have been looking for what is tg 120°, or if you have been wondering about tg 120 degrees in radians, then you are right here, too.
In this post you can find the tg 120° value, along with identities.
Read on to learn all about the tg of 120°.
Tg 120 Degrees
If you want to know what is tg 120 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 tg 120°:
tg 120° = -√3
tg 120 degrees = -√3
The tg of 120 degrees is -√3, the same as tg of 120 degrees in radians. To obtain 120 degrees in radian multiply 120° by $\pi$ / 180° = 2/3 $\pi$. Tg 120degrees = tg (2/3 × $\pi)$.
Our results of tg120° have been rounded to five decimal places. If you want tangent 120° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tg 120 degrees insert the angle 120 in the field labelled °, but if you want to calculate tg 120 in radians, then you have to press the swap unit button first.
Calculate tg [degrees]
The identities of tangent 120° are as follows:
= ctg (90°-120°) = ctg -30°
-tg120°
= tg (-120°) = -tg 120°
= ctg (90°+120°) = ctg 210°
= tg (180°-120°) = tg 60°
There are more formulas for the double angle (2 × 120°), half angle ((120/2)°) as well as the sum, difference and products of two angles such as 120° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tg -120° click the link. And here is all about ctg 120°, including, for instance, a converter.
In terms of the other five trigonometric functions, tg of 120° =
- $\pm\frac{\sin 120^\circ}{\sqrt{1 – \sin^{2} 120^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 120^\circ}}{\cos 120^\circ}$
- $\pm \sqrt{\sec^{2} 120^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 120^\circ – 1}}$
- $\frac{1}{ctg\hspace{3px}120^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / ctg 120° = tg120°.
In the next part of this article we discuss the trigonometric significance of tg120°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tg 120°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 120 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 120°, x = cos 120° and tg 120° = sin 120°/cos 120°.
Note that you can locate many terms including the tangent120° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tg120°.
Along the same lines, using the aforementioned form, can you look up terms such as tg 120° value, tg 120, tg120° value and what is the tg of 120 degrees, just to name a few.
Given the periodicity of tangent of 120°, to determine the tangent of an angle > 180°, e.g. 840°, calculate tg 840° as tg (840 Mod 180)° = tangent of 120°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tg 120 degrees and what is the tg of 120 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017