Table of Contents
Welcome to sec 33°, our post aboutthe secant of 33 degrees.
For the secant of 33 degrees we use the abbreviation sec for the trigonometric function together with the degree symbol °, and write it as sec 33°.
If you have been looking for what is sec 33°, or if you have been wondering about sec 33 degrees in radians, then you are right here, too.
In this post you can find the sec 33° value, along with identities.
Read on to learn all about the sec of 33°.
Sec 33 Degrees
If you want to know what is sec 33 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 33°:
sec 33° = 1.19236
sec 33 degrees = 1.19236
The sec of 33 degrees is 1.19236, the same as sec of 33 degrees in radians. To obtain 33 degrees in radian multiply 33° by $\pi$ / 180° = 11/60 $\pi$. Sec 33degrees = sec (11/60 × $\pi)$.
Our results of sec33° have been rounded to five decimal places. If you want secant 33° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sec 33 degrees insert the angle 33 in the field labelled °, but if you want to calculate sec 33 in radians, then you have to press the swap unit button first.
Calculate sec [degrees]
Note that sec33° is periodic: sec (33° + n × 360°) = sec 33 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.
In terms of the other five trigonometric functions, sec of 33° =
- $\pm\frac{1}{\sqrt{1 – \sin^{2} 33^\circ}}$
- $\pm \sqrt{1+\tan^{2} 33 ^\circ}$
- $\pm\frac{\csc 33^\circ}{\sqrt{\csc^{2} 33^\circ – 1}}$
- $\frac{1}{\cos 33^\circ}$
- $\pm\frac{\sqrt{1+\cot^{2} 33^\circ} }{\cot 33^\circ}$
As the secant function is the reciprocal of the cosine function, 1 / cos 33° = sec33°.
In the next part we discuss the trigonometric significance of sec33°, and there you can also learn what the search calculations form in the sidebar is used for.
What is sec 33°?
In a triangle which has one angle of 90 degrees, the secant of the angle of 33° is the ratio of the length of the hypotenuse h to the length of the adjacent side a: sec 33° = h/a.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 33 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 33°.
Bringing together the triangle definition and the unit circle definition of secant 33 degrees, a = x and h = r = 1. It follows that $1/x\hspace{5px} =\hspace{5px}\frac{hypotenuse}{adjacent}\hspace{5px}=\hspace{5px}\sec 33^\circ$.
Note that you can locate many terms including the secant33° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sec33°.
Along the same lines, using the aforementioned form, can you look up terms such as sec 33° value, sec 33, sec33° value and what is the sec of 33 degrees, just to name a few.
Given the periodic property of secant of 33°, to determine the secant of an angle > 360°, e.g. 753°, calculate sec 753° as sec (753 Mod 360)° = secant of 33°, or use our form.
Conclusion
The frequently asked questions in the context include what is sec 33 degrees and what is the sec of 33 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 19th, 2017