Table of Contents
Welcome to sec 4pi/3, our post aboutthe secant of 4pi/3.
For the secant of 4pi/3 we use the abbreviation sec for the trigonometric function and write it as sec 4pi/3.
If you have been looking for what is sec 4pi/3, or if you have been wondering about sec 4pi/3 radians in degrees, then you are right here, too.
In this post you can find the sec 4pi/3 value, along with identities.
Read on to learn all about the sec of 4pi/3.
Sec 4Pi/3 Radians
If you want to know what is sec 4pi/3 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 4pi/3:
sec 4pi/3 = -2
sec 4pi/3 radians = -2
The sec of 4pi/3 radians is -2, the same as sec of 4pi/3 radians in degrees. To change 4pi/3 radians to degrees multiply 4pi/3 by 180° / $\pi$ = 240°. Sec 4pi/3 = sec 240 degrees.
Our results of sec4pi/3 have been rounded to five decimal places. If you want secant 4pi/3 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sec 4pi/3 radians insert the angle 4pi/3 in decimal notation, but if you want to calculate sec 4pi/3 in degrees, then you have to press the swap unit button first.
Calculate sec [radians]
Note that sec4pi/3 is periodic: sec (4pi/3 + n × 2pi) = sec 4pi/3, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.
In terms of the other five trigonometric functions, sec of 4pi/3 =
- $\pm\frac{1}{\sqrt{1 – \sin^{2} 4\pi/3}}$
- $\pm \sqrt{1+\tan^{2} 4\pi/3 }$
- $\pm\frac{\csc 4\pi/3}{\sqrt{\csc^{2} (4\pi/3) – 1}}$
- $\frac{1}{\cos 4\pi/3}$
- $\pm\frac{\sqrt{1+\cot^{2} 4\pi/3} }{\cot 4\pi/3}$
As the secant function is the reciprocal of the cosine function, 1 / cos 4pi/3 = sec4pi/3.
In the next part we discuss the trigonometric significance of sec4pi/3, and there you can also learn what the search calculations form in the sidebar is used for.
What is sec 4Pi/3?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 4pi/3 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 4pi/3.
Note that you can locate many terms including the secant4pi/3 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sec4pi/3.
Along the same lines, using the aforementioned form, can you look up terms such as sec 4pi/3 value, sec 4pi/3, sec4pi/3 value and what is the sec of 4pi/3 radians, just to name a few.
Given the periodic property of secant of 4pi/3, to determine the secant of an angle > 2pi, e.g. 16/3 pi, calculate sec 16/3 pi as sec (16/3 pi mod 2pi) = secant of 4pi/3, or use our form.
Conclusion
The frequently asked questions in the context include what is sec 4pi/3 radians and what is the sec of 4pi/3 radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017