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Welcome to sin 7pi/6, our post aboutthe sine of 7pi/6 radians.
For the sine of 7pi/6 radians we use the abbreviation sin for the trigonometric function and write it as sin 7pi/6.
If you have been looking for what is sin 7pi/6, or if you have been wondering about sin 7pi/6 radians in degrees, then you are right here, too.
In this post you can find the sin 7pi/6 value, along with identities.
Read on to learn all about the sin of 7pi/6.
Sin 7Pi/6 Radians
If you want to know what is sin 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 sin 7pi/6:
sin 7pi/6 = -1/2
sin 7pi/6 radians = -1/2
The sin of 7pi/6 radians is -1/2, the same as sin of 7pi/6 radians in degrees. To change 7pi/6 radians to degrees multiply 7pi/6 by 180° / $\pi$ = 210°. Sin 7pi/6 = sin 210 degrees.
Our results of sin7pi/6 have been rounded to five decimal places. If you want sine 7pi/6 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 7pi/6 radians insert the angle 7pi/6 in decimal notation, but if you want to calculate sin 7pi/6 in degrees, then you have to press the swap unit button first.
Calculate sin [radians]
The identities of sine 7pi/6 are as follows:
= cos (pi/2 – 7pi/6) = cos -2/3 pi
= sin (pi – 7pi/6) = sin -1/6 pi
-sin7pi/6
= cos (pi/2 + 7pi/6) = cos 5/3 pi
= sin (pi + 7pi/6) = sin 13/6 pi
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 sin -7pi/6 click the link. And here is all about cos 7pi/6, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 7pi/6 =
- $\pm \sqrt{1-\cos^{2} 7\pi/6}$
- $\pm\frac{\tan 7\pi/6}{\sqrt{1 + \tan^{2} 7\pi/6}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 7\pi/6}}$
- $\pm\frac{\sqrt{\sec^{2} (7\pi/6) – 1} }{\sec 7\pi/6}$
- $\frac{1}{\csc 7\pi/6}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 7pi/6 = sin7pi/6.
In the next part of this article of this article we discuss the trigonometric significance of sin7pi/6, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 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, y = sin 7pi/6.
Note that you can locate many terms including the sine7pi/6 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin7pi/6.
Along the same lines, using the aforementioned form, can you look up terms such as sin 7pi/6 value, sin 7pi/6, sin7pi/6 value and what is the sin of 7pi/6 radians, just to name a few.
Given the periodic property of sine of 7pi/6, to determine the sine of an angle > 2pi, e.g. 31/6 pi, calculate sin 31/6 pi as sin (31/6 pi mod 2pi) = sine of 7pi/6, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 7pi/6 radians and what is the sin of 7pi/6 radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017