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Welcome to sec 360°, our post aboutthe secant of 360 degrees.
For the secant of 360 degrees we use the abbreviation sec for the trigonometric function together with the degree symbol °, and write it as sec 360°.
If you have been looking for what is sec 360°, or if you have been wondering about sec 360 degrees in radians, then you are right here, too.
In this post you can find the sec 360° value, along with identities.
Read on to learn all about the sec of 360°.
Sec 360 Degrees
If you want to know what is sec 360 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 sec 360°:
sec 360° = 1
sec 360 degrees = 1
The sec of 360 degrees is 1, the same as sec of 360 degrees in radians. To obtain 360 degrees in radian multiply 360° by $\pi$ / 180° = 2/1 $\pi$. Sec 360degrees = sec (2/1 × $\pi)$.
Our results of sec360° have been rounded to five decimal places. If you want secant 360° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sec 360 degrees insert the angle 360 in the field labelled °, but if you want to calculate sec 360 in radians, then you have to press the swap unit button first.
Calculate sec [degrees]
Note that sec360° is periodic: sec (360° + n × 360°) = sec 360 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.
In terms of the other five trigonometric functions, sec of 360° =
- $\pm\frac{1}{\sqrt{1 – \sin^{2} 360^\circ}}$
- $\pm \sqrt{1+\tan^{2} 360 ^\circ}$
- $\pm\frac{\csc 360^\circ}{\sqrt{\csc^{2} 360^\circ – 1}}$
- $\frac{1}{\cos 360^\circ}$
- $\pm\frac{\sqrt{1+\cot^{2} 360^\circ} }{\cot 360^\circ}$
As the secant function is the reciprocal of the cosine function, 1 / cos 360° = sec360°.
In the next part we discuss the trigonometric significance of sec360°, and there you can also learn what the search calculations form in the sidebar is used for.
What is sec 360°?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 360 degrees 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 360°.
Note that you can locate many terms including the secant360° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sec360°.
Along the same lines, using the aforementioned form, can you look up terms such as sec 360° value, sec 360, sec360° value and what is the sec of 360 degrees, just to name a few.
Given the periodic property of secant of 360°, to determine the secant of an angle > 360°, e.g. 1080°, calculate sec 1080° as sec (1080 Mod 360)° = secant of 360°, or use our form.
Conclusion
The frequently asked questions in the context include what is sec 360 degrees and what is the sec of 360 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 19th, 2017