Table of Contents
Welcome to tan -30°, our post aboutthe tan minus 30 degrees.
For the tangent of -30 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan -30°.
If you have been looking for what is tan -30°, or if you have been wondering about tan -30 degrees in radians, then you are right here, too.
In this post you can find the tan -30° value, along with identities.
Read on to learn all about the tan of -30°.
Tan Minus 30 Degrees
If you want to know what is tan -30 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 -30°:
tan -30° = -√(3)/3
tan -30 degrees = -√(3)/3
The tan of -30 degrees is -√(3)/3, the same as tan of -30 degrees in radians. To obtain -30 degrees in radian multiply -30° by $\pi$ / 180° = -1/6 $\pi$. Tan -30degrees = tan (-1/6 × $\pi)$.
Our results of tan-30° have been rounded to five decimal places. If you want tangent -30° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tan -30 degrees insert the angle -30 in the field labelled °, but if you want to calculate tan -30 in radians, then you have to press the swap unit button first.
Calculate tan [degrees]
The identities of tangent -30° are as follows:
= cot (90° + 30°) = cot 120°
-tan-30°
= tan 30° = -tan -30°
= cot (90° – 30°) = cot 60°
= tan (180° + 30°) = tan 210°
There are more formulas for the double angle (2 × -30°), half angle ((-30/2)°) as well as the sum, difference and products of two angles such as -30° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tan 30° click the link. And here is all about cot -30°, including, for instance, a converter.
In terms of the other five trigonometric functions, tan of -30° =
- $\pm\frac{\sin (-30^\circ)}{\sqrt{1 – \sin^{2} (-30^\circ})}$
- $\pm\frac{\sqrt{1 – \cos^{2} (-30^\circ)}}{\cos (-30^\circ)}$
- $\pm \sqrt{\sec^{2} (-30^\circ) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (-30^\circ) – 1}}$
- $\frac{1}{\cot (-30^\circ)}$
As the cotangent function is the reciprocal of the tangent function, 1 / cot -30° = tan-30°.
In the next part of this article we discuss the trigonometric significance of tan minus 30°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tan -30°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, -30 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 -30°, x = cos -30° and tan -30° = sin -30°/cos -30°.
Note that you can locate many terms including the tangent-30° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan-30°.
Along the same lines, using the aforementioned form, can you look up terms such as tan -30° value, tan -30, tan-30° value and what is the tan of -30 degrees, just to name a few.
Given the periodicity of tangent of -30°, to determine the tangent of an angle < -180°, e.g. -750°, calculate tan -750° as tan (-750 Mod 180)° = tangent of -30°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tan -30 degrees and what is the tan of -30 degrees for example; reading our content they are no-brainers.
But, if there is something else about tangent -30° you would like to know, fill in the form on the bottom of this post, or send us an email with a subject line such as tangent -30 degrees.
If our calculator and the information on tan-30° have been helpful, please hit the sharing buttons to spread the word about our content, and don’t forget to bookmark us.
Or, even better, install absolutely free PWA app (see menu or sidebar)!
Thanks for visiting tan minus 30 degrees.
– Article written by Mark, last updated on February 26th, 2017