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Welcome to cos 5pi/6, our post aboutthe cosine of 5pi/6.
For the cosine of 5pi/6 we use the abbreviation cos for the trigonometric function and write it as cos 5pi/6.
If you have been looking for what is cos 5pi/6, or if you have been wondering about cos 5pi/6 radians in degrees, then you are right here, too.
In this post you can find the cos 5pi/6 value, along with identities.
Read on to learn all about the cos of 5pi/6.
Cos 5Pi/6 Radians
If you want to know what is cos 5pi/6 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 cos 5pi/6:
cos 5pi/6 = -√(3)/2
cos 5pi/6 radians = -√(3)/2
The cos of 5pi/6 radians is -√(3)/2, the same as cos of 5pi/6 radians in degrees. To change 5pi/6 radians to degrees multiply 5pi/6 by by 180° / $\pi$ = 150°. Cos 5pi/6 = cos 150 degrees.
Our results of cos5pi/6 have been rounded to five decimal places. If you want cosine 5pi/6 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate cos 5pi/6 radians insert the angle 5pi/6 in decimal notation, but if you want to calculate cos 5pi/6 in degrees, then you have to press the swap unit button first.
Calculate cos [radians]
The identities of cosine 5pi/6 are as follows:
= sin (pi/2 + 5pi/6) = sin 4/3 pi
= sin (pi/2 – 5pi/6) = sin -1/3 pi
-cos5pi/6
= cos (pi + 5pi/6) = cos 11/6 pi
= cos (pi – 5pi/6) = cos 1/6 pi
There are more formulas for the double angle (2 × 5pi/6), half angle ((5pi/6/2)) as well as the sum, difference and products of two angles such as 5pi/6 and β.
You can locate all of them in the respective article found in the header menu. To find everything about cos -5pi/6 click the link. And here is all about sin 5pi/6, including, for instance, a converter.
In terms of the other five trigonometric functions, cos of 5pi/6 =
- $\pm \sqrt{1-\sin^{2} 5\pi/6 }$
- $\pm\frac{1}{\sqrt{1 + \tan^{2} 5\pi/6}}$
- $\pm\frac{\cot 5\pi/6}{\sqrt{1 + \cot^{2} 5\pi/6}}$
- $\frac{1}{\sec 5\pi/6}$
- $\pm\frac{\sqrt{\csc^{2} (5\pi/6) – 1} }{\csc 5\pi/6}$
As the cosine function is the reciprocal of the secant function, 1 / sec 5pi/6 = cos5pi/6.
In the next part we discuss the trigonometric significance of cos5pi/6, and there you can also learn what the search calculations form in the sidebar is used for.
What is cos 5Pi/6?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 5pi/6 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 5pi/6.
Note that you can locate many terms including the cosine5pi/6 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos5pi/6.
Along the same lines, using the aforementioned form, can you look up terms such as cos 5pi/6 value, cos 5pi/6, cos5pi/6 value and what is the cos of 5pi/6 radians, just to name a few.
Given the periodic property of cosine of 5pi/6, to determine the cosine of an angle > 2pi, e.g. 29/6 pi, calculate cos 29/6 pi as cos (29/6 pi mod 2pi) = cosine of 5pi/6, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is cos 5pi/6 radians and what is the cos of 5pi/6 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017