Table of Contents
Welcome to sec 2pi, our post aboutthe secant of 2pi.
For the secant of 2pi we use the abbreviation sec for the trigonometric function and write it as sec 2pi.
If you have been looking for what is sec 2pi, or if you have been wondering about sec 2pi radians in degrees, then you are right here, too.
In this post you can find the sec 2pi value, along with identities.
Read on to learn all about the sec of 2pi.
Sec 2Pi Radians
If you want to know what is sec 2pi radians in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of sec 2pi:
sec 2pi = 1
sec 2pi radians = 1
The sec of 2pi radians is 1, the same as sec of 2pi radians in degrees. To change 2pi radians to degrees multiply 2pi by 180° / $\pi$ = 360°. Sec 2pi = sec 360 degrees.
Our results of sec2pi have been rounded to five decimal places. If you want secant 2pi with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sec 2pi radians insert the angle 2pi in decimal notation, but if you want to calculate sec 2pi in degrees, then you have to press the swap unit button first.
Calculate sec [radians]
Note that sec2pi is periodic: sec (2pi + n × 2pi) = sec 2pi, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.
In terms of the other five trigonometric functions, sec of 2pi =
- $\pm\frac{1}{\sqrt{1 – \sin^{2} 2\pi}}$
- $\pm \sqrt{1+\tan^{2} 2\pi }$
- $\pm\frac{\csc 2\pi}{\sqrt{\csc^{2} (2\pi) – 1}}$
- $\frac{1}{\cos 2\pi}$
- $\pm\frac{\sqrt{1+\cot^{2} 2\pi} }{\cot 2\pi}$
As the secant function is the reciprocal of the cosine function, 1 / cos 2pi = sec2pi.
In the next part we discuss the trigonometric significance of sec2pi, and there you can also learn what the search calculations form in the sidebar is used for.
What is sec 2Pi?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 2pi is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.
As detailed in the unit-circle definition on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, x = cos 2pi.
Note that you can locate many terms including the secant2pi value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sec2pi.
Along the same lines, using the aforementioned form, can you look up terms such as sec 2pi value, sec 2pi, sec2pi value and what is the sec of 2pi radians, just to name a few.
Given the periodic property of secant of 2pi, to determine the secant of an angle > 2pi, e.g. 6 pi, calculate sec 6 pi as sec (6 pi mod 2pi) = secant of 2pi, or use our form.
Conclusion
The frequently asked questions in the context include what is sec 2pi radians and what is the sec of 2pi radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017