Table of Contents
Welcome to tan 216°, our post aboutthe tangent of 216 degrees.
For the tangent of 216 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 216°.
If you have been looking for what is tan 216°, or if you have been wondering about tan 216 degrees in radians, then you are right here, too.
In this post you can find the tan 216° value, along with identities.
Read on to learn all about the tan of 216°.
Tan 216 Degrees
If you want to know what is tan 216 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 216°:
tan 216° = 0.72654
tan 216 degrees = 0.72654
The tan of 216 degrees is 0.72654, the same as tan of 216 degrees in radians. To obtain 216 degrees in radian multiply 216° by $\pi$ / 180° = 6/5 $\pi$. Tan 216degrees = tan (6/5 × $\pi)$.
Our results of tan216° have been rounded to five decimal places. If you want tangent 216° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tan 216 degrees insert the angle 216 in the field labelled °, but if you want to calculate tan 216 in radians, then you have to press the swap unit button first.
Calculate tan [degrees]
The identities of tangent 216° are as follows:
= cot (90°-216°) = cot -126°
-tan216°
= tan (-216°) = -tan 216°
= cot (90°+216°) = cot 306°
= tan (180°-216°) = tan -36°
There are more formulas for the double angle (2 × 216°), half angle ((216/2)°) as well as the sum, difference and products of two angles such as 216° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tan -216° click the link. And here is all about cot 216°, including, for instance, a converter.
In terms of the other five trigonometric functions, tan of 216° =
- $\pm\frac{\sin 216^\circ}{\sqrt{1 – \sin^{2} 216^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 216^\circ}}{\cos 216^\circ}$
- $\pm \sqrt{\sec^{2} 216^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 216^\circ – 1}}$
- $\frac{1}{\cot 216^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / cot 216° = tan216°.
In the next part of this article we discuss the trigonometric significance of tan216°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tan 216°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 216 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 216°, x = cos 216° and tan 216° = sin 216°/cos 216°.
Note that you can locate many terms including the tangent216° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan216°.
Along the same lines, using the aforementioned form, can you look up terms such as tan 216° value, tan 216, tan216° value and what is the tan of 216 degrees, just to name a few.
Given the periodicity of tangent of 216°, to determine the tangent of an angle > 180°, e.g. 936°, calculate tan 936° as tan (936 Mod 180)° = tangent of 216°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tan 216 degrees and what is the tan of 216 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 18th, 2017