Table of Contents
Welcome to tan 240°, our post aboutthe tangent of 240 degrees.
For the tangent of 240 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 240°.
If you have been looking for what is tan 240°, or if you have been wondering about tan 240 degrees in radians, then you are right here, too.
In this post you can find the tan 240° value, along with identities.
Read on to learn all about the tan of 240°.
Tan 240 Degrees
If you want to know what is tan 240 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 tan 240°:
tan 240° = √3
tan 240 degrees = √3
The tan of 240 degrees is √3, the same as tan of 240 degrees in radians. To obtain 240 degrees in radian multiply 240° by $\pi$ / 180° = 4/3 $\pi$. Tan 240degrees = tan (4/3 × $\pi)$.
Our results of tan240° have been rounded to five decimal places. If you want tangent 240° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tan 240 degrees insert the angle 240 in the field labelled °, but if you want to calculate tan 240 in radians, then you have to press the swap unit button first.
Calculate tan [degrees]
The identities of tangent 240° are as follows:
= cot (90°-240°) = cot -150°
-tan240°
= tan (-240°) = -tan 240°
= cot (90°+240°) = cot 330°
= tan (180°-240°) = tan -60°
There are more formulas for the double angle (2 × 240°), half angle ((240/2)°) as well as the sum, difference and products of two angles such as 240° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tan -240° click the link. And here is all about cot 240°, including, for instance, a converter.
In terms of the other five trigonometric functions, tan of 240° =
- $\pm\frac{\sin 240^\circ}{\sqrt{1 – \sin^{2} 240^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 240^\circ}}{\cos 240^\circ}$
- $\pm \sqrt{\sec^{2} 240^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 240^\circ – 1}}$
- $\frac{1}{\cot 240^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / cot 240° = tan240°.
In the next part of this article we discuss the trigonometric significance of tan240°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tan 240°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 240 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 240°, x = cos 240° and tan 240° = sin 240°/cos 240°.
Note that you can locate many terms including the tangent240° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan240°.
Along the same lines, using the aforementioned form, can you look up terms such as tan 240° value, tan 240, tan240° value and what is the tan of 240 degrees, just to name a few.
Given the periodicity of tangent of 240°, to determine the tangent of an angle > 180°, e.g. 960°, calculate tan 960° as tan (960 Mod 180)° = tangent of 240°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tan 240 degrees and what is the tan of 240 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017