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Cos 7Pi/6

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Welcome to cos 7pi/6, our post aboutthe cosine of 7pi/6.

For the cosine of 7pi/6 we use the abbreviation cos for the trigonometric function and write it as cos 7pi/6.

If you have been looking for what is cos 7pi/6, or if you have been wondering about cos 7pi/6 radians in degrees, then you are right here, too.

In this post you can find the cos 7pi/6 value, along with identities.

Read on to learn all about the cos of 7pi/6.

Cos 7Pi/6 Radians

If you want to know what is cos 7pi/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 7pi/6:

cos7pi/6 = -√(3)/2
cos 7pi/6 = -√(3)/2
cos 7pi/6 radians = -√(3)/2

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The cos of 7pi/6 radians is -√(3)/2, the same as cos of 7pi/6 radians in degrees. To change 7pi/6 radians to degrees multiply 7pi/6 by by 180° / $\pi$ = 210°. Cos 7pi/6 = cos 210 degrees.

Our results of cos7pi/6 have been rounded to five decimal places. If you want cosine 7pi/6 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate cos 7pi/6 radians insert the angle 7pi/6 in decimal notation, but if you want to calculate cos 7pi/6 in degrees, then you have to press the swap unit button first.

Calculate cos [radians]

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The identities of cosine 7pi/6 are as follows:

= sin (pi/2 + 7pi/6) = sin 5/3 pi
= sin (pi/2 – 7pi/6) = sin -2/3 pi

= cos (pi + 7pi/6) = cos 13/6 pi
= cos (pi – 7pi/6) = cos -1/6 pi

Note that cos7pi/6 is periodic: cos (7pi/6 + n × 2pi) = cos 7pi/6, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 7pi/6), half angle ((7pi/6/2)) as well as the sum, difference and products of two angles such as 7pi/6 and β.

You can locate all of them in the respective article found in the header menu. To find everything about cos -7pi/6 click the link. And here is all about sin 7pi/6, including, for instance, a converter.

In terms of the other five trigonometric functions, cos of 7pi/6 =

  • $\pm \sqrt{1-\sin^{2} 7\pi/6 }$
  • $\pm\frac{1}{\sqrt{1 + \tan^{2} 7\pi/6}}$
  • $\pm\frac{\cot 7\pi/6}{\sqrt{1 + \cot^{2} 7\pi/6}}$
  • $\frac{1}{\sec 7\pi/6}$
  • $\pm\frac{\sqrt{\csc^{2} (7\pi/6) – 1} }{\csc 7\pi/6}$

As the cosine function is the reciprocal of the secant function, 1 / sec 7pi/6 = cos7pi/6.

In the next part we discuss the trigonometric significance of cos7pi/6, and there you can also learn what the search calculations form in the sidebar is used for.

What is cos 7Pi/6?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 7pi/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 7pi/6.

Note that you can locate many terms including the cosine7pi/6 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos7pi/6.

Along the same lines, using the aforementioned form, can you look up terms such as cos 7pi/6 value, cos 7pi/6, cos7pi/6 value and what is the cos of 7pi/6 radians, just to name a few.

Given the periodic property of cosine of 7pi/6, to determine the cosine of an angle > 2pi, e.g. 31/6 pi, calculate cos 31/6 pi as cos (31/6 pi mod 2pi) = cosine of 7pi/6, or look it up with our form.


The frequently asked questions in the context include what is cos 7pi/6 radians and what is the cos of 7pi/6 degrees for example; reading our content they are no-brainers.

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