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Welcome to tg 255°, our post aboutthe tangent of 255 degrees.
For the tangent of 255 degrees we use the abbreviation tg for the trigonometric function together with the degree symbol °, and write it as tg 255°.
If you have been looking for what is tg 255°, or if you have been wondering about tg 255 degrees in radians, then you are right here, too.
In this post you can find the tg 255° value, along with identities.
Read on to learn all about the tg of 255°.
Tg 255 Degrees
If you want to know what is tg 255 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 255°:
tg 255° = 2+√3
tg 255 degrees = 2+√3
The tg of 255 degrees is 2+√3, the same as tg of 255 degrees in radians. To obtain 255 degrees in radian multiply 255° by $\pi$ / 180° = 17/12 $\pi$. Tg 255degrees = tg (17/12 × $\pi)$.
Our results of tg255° have been rounded to five decimal places. If you want tangent 255° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tg 255 degrees insert the angle 255 in the field labelled °, but if you want to calculate tg 255 in radians, then you have to press the swap unit button first.
Calculate tg [degrees]
The identities of tangent 255° are as follows:
= ctg (90°-255°) = ctg -165°
-tg255°
= tg (-255°) = -tg 255°
= ctg (90°+255°) = ctg 345°
= tg (180°-255°) = tg -75°
There are more formulas for the double angle (2 × 255°), half angle ((255/2)°) as well as the sum, difference and products of two angles such as 255° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tg -255° click the link. And here is all about ctg 255°, including, for instance, a converter.
In terms of the other five trigonometric functions, tg of 255° =
- $\pm\frac{\sin 255^\circ}{\sqrt{1 – \sin^{2} 255^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 255^\circ}}{\cos 255^\circ}$
- $\pm \sqrt{\sec^{2} 255^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 255^\circ – 1}}$
- $\frac{1}{ctg\hspace{3px}255^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / ctg 255° = tg255°.
In the next part of this article we discuss the trigonometric significance of tg255°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tg 255°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 255 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 255°, x = cos 255° and tg 255° = sin 255°/cos 255°.
Note that you can locate many terms including the tangent255° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tg255°.
Along the same lines, using the aforementioned form, can you look up terms such as tg 255° value, tg 255, tg255° value and what is the tg of 255 degrees, just to name a few.
Given the periodicity of tangent of 255°, to determine the tangent of an angle > 180°, e.g. 975°, calculate tg 975° as tg (975 Mod 180)° = tangent of 255°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tg 255 degrees and what is the tg of 255 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017