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Welcome to **sin 23pi/12**, our post aboutthe sine of 23pi/12 radians.

For the sine of 23pi/12 radians we use the abbreviation *sin* for the trigonometric function and write it as sin 23pi/12.

If you have been looking for *what is sin 23pi/12*, or if you have been wondering about sin 23pi/12 radians in degrees, then you are right here, too.

In this post you can find the sin 23pi/12 value, along with identities.

Read on to learn all about the sin of 23pi/12.

## Sin 23Pi/12 Radians

If you want to know *what is sin 23pi/12 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 23pi/12:

sin 23pi/12 = -(√6-√2)/4

sin 23pi/12 radians = -(√6-√2)/4

The sin of 23pi/12 radians is -(√6-√2)/4, the same as sin of 23pi/12 radians in degrees. To change 23pi/12 radians to degrees multiply 23pi/12 by 180° / $\pi$ = 345°. Sin 23pi/12 = sin 345 degrees.

Our results of sin23pi/12 have been rounded to five decimal places. If you want sine 23pi/12 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate sin 23pi/12 radians insert the angle 23pi/12 in decimal notation, but if you want to calculate sin 23pi/12 in degrees, then you have to press the swap unit button first.

### Calculate sin [radians]

The identities of sine 23pi/12 are as follows:

= cos (pi/2 – 23pi/12) = cos -17/12 pi

= sin (pi – 23pi/12) = sin -11/12 pi

-sin23pi/12

= cos (pi/2 + 23pi/12) = cos 29/12 pi

= sin (pi + 23pi/12) = sin 35/12 pi

*n*× 2pi) = sin 23pi/12, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 23pi/12), half angle ((23pi/12/2)) as well as the sum, difference and products of two angles such as 23pi/12 and β.

You can locate all of them in the respective article found in the header menu. To find everything about sin -23pi/12 click the link. And here is all about cos 23pi/12, including, for instance, a converter.

In terms of the other five trigonometric functions, sin of 23pi/12 =

- $\pm \sqrt{1-\cos^{2} 23\pi/12}$
- $\pm\frac{\tan 23\pi/12}{\sqrt{1 + \tan^{2} 23\pi/12}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 23\pi/12}}$
- $\pm\frac{\sqrt{\sec^{2} (23\pi/12) – 1} }{\sec 23\pi/12}$
- $\frac{1}{\csc 23\pi/12}$

As the cosecant function is the reciprocal of the sine function, 1 / csc 23pi/12 = sin23pi/12.

In the next part of this article of this article we discuss the trigonometric significance of sin23pi/12, and there you can also learn what the search calculations form in the sidebar is used for.

## What is sin 23Pi/12?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 23pi/12 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 23pi/12.

Note that you can locate many terms including the sine23pi/12 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin23pi/12.

Along the same lines, using the aforementioned form, can you look up terms such as sin 23pi/12 value, sin 23pi/12, sin23pi/12 value and *what is the sin of 23pi/12 radians*, just to name a few.

Given the periodic property of sine of 23pi/12, to determine the sine of an angle > 2pi, e.g. 71/12 pi, calculate sin 71/12 pi as sin (71/12 pi mod 2pi) = sine of 23pi/12, or look it up with our form.

## Conclusion

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– Article written by Mark