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Welcome to sin 13pi/12, our post aboutthe sine of 13pi/12 radians.
For the sine of 13pi/12 radians we use the abbreviation sin for the trigonometric function and write it as sin 13pi/12.
If you have been looking for what is sin 13pi/12, or if you have been wondering about sin 13pi/12 radians in degrees, then you are right here, too.
In this post you can find the sin 13pi/12 value, along with identities.
Read on to learn all about the sin of 13pi/12.
Sin 13Pi/12 Radians
If you want to know what is sin 13pi/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 13pi/12:
sin 13pi/12 = -(√6-√2)/4
sin 13pi/12 radians = -(√6-√2)/4
The sin of 13pi/12 radians is -(√6-√2)/4, the same as sin of 13pi/12 radians in degrees. To change 13pi/12 radians to degrees multiply 13pi/12 by 180° / $\pi$ = 195°. Sin 13pi/12 = sin 195 degrees.
Our results of sin13pi/12 have been rounded to five decimal places. If you want sine 13pi/12 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 13pi/12 radians insert the angle 13pi/12 in decimal notation, but if you want to calculate sin 13pi/12 in degrees, then you have to press the swap unit button first.
Calculate sin [radians]
The identities of sine 13pi/12 are as follows:
= cos (pi/2 – 13pi/12) = cos -7/12 pi
= sin (pi – 13pi/12) = sin -1/12 pi
-sin13pi/12
= cos (pi/2 + 13pi/12) = cos 19/12 pi
= sin (pi + 13pi/12) = sin 25/12 pi
There are more formulas for the double angle (2 × 13pi/12), half angle ((13pi/12/2)) as well as the sum, difference and products of two angles such as 13pi/12 and β.
You can locate all of them in the respective article found in the header menu. To find everything about sin -13pi/12 click the link. And here is all about cos 13pi/12, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 13pi/12 =
- $\pm \sqrt{1-\cos^{2} 13\pi/12}$
- $\pm\frac{\tan 13\pi/12}{\sqrt{1 + \tan^{2} 13\pi/12}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 13\pi/12}}$
- $\pm\frac{\sqrt{\sec^{2} (13\pi/12) – 1} }{\sec 13\pi/12}$
- $\frac{1}{\csc 13\pi/12}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 13pi/12 = sin13pi/12.
In the next part of this article of this article we discuss the trigonometric significance of sin13pi/12, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 13Pi/12?
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 13pi/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 13pi/12.
Note that you can locate many terms including the sine13pi/12 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin13pi/12.
Along the same lines, using the aforementioned form, can you look up terms such as sin 13pi/12 value, sin 13pi/12, sin13pi/12 value and what is the sin of 13pi/12 radians, just to name a few.
Given the periodic property of sine of 13pi/12, to determine the sine of an angle > 2pi, e.g. 61/12 pi, calculate sin 61/12 pi as sin (61/12 pi mod 2pi) = sine of 13pi/12, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 13pi/12 radians and what is the sin of 13pi/12 radians for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 26th, 2017