Table of Contents
Welcome to sin 5pi/12, our post aboutthe sine of 5pi/12 radians.
For the sine of 5pi/12 radians we use the abbreviation sin for the trigonometric function and write it as sin 5pi/12.
If you have been looking for what is sin 5pi/12, or if you have been wondering about sin 5pi/12 radians in degrees, then you are right here, too.
In this post you can find the sin 5pi/12 value, along with identities.
Read on to learn all about the sin of 5pi/12.
Sin 5Pi/12 Radians
If you want to know what is sin 5pi/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 5pi/12:
sin 5pi/12 = (√6+√2)/4
sin 5pi/12 radians = (√6+√2)/4
The sin of 5pi/12 radians is (√6+√2)/4, the same as sin of 5pi/12 radians in degrees. To change 5pi/12 radians to degrees multiply 5pi/12 by 180° / $\pi$ = 75°. Sin 5pi/12 = sin 75 degrees.
Our results of sin5pi/12 have been rounded to five decimal places. If you want sine 5pi/12 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate sin 5pi/12 radians insert the angle 5pi/12 in decimal notation, but if you want to calculate sin 5pi/12 in degrees, then you have to press the swap unit button first.
Calculate sin [radians]
The identities of sine 5pi/12 are as follows:
= cos (pi/2 – 5pi/12) = cos 1/12 pi
= sin (pi – 5pi/12) = sin 7/12 pi
-sin5pi/12
= cos (pi/2 + 5pi/12) = cos 11/12 pi
= sin (pi + 5pi/12) = sin 17/12 pi
There are more formulas for the double angle (2 × 5pi/12), half angle ((5pi/12/2)) as well as the sum, difference and products of two angles such as 5pi/12 and β.
You can locate all of them in the respective article found in the header menu. To find everything about sin -5pi/12 click the link. And here is all about cos 5pi/12, including, for instance, a converter.
In terms of the other five trigonometric functions, sin of 5pi/12 =
- $\pm \sqrt{1-\cos^{2} 5\pi/12}$
- $\pm\frac{\tan 5\pi/12}{\sqrt{1 + \tan^{2} 5\pi/12}}$
- $\pm\frac{1}{\sqrt{1 + \cot^{2} 5\pi/12}}$
- $\pm\frac{\sqrt{\sec^{2} (5\pi/12) – 1} }{\sec 5\pi/12}$
- $\frac{1}{\csc 5\pi/12}$
As the cosecant function is the reciprocal of the sine function, 1 / csc 5pi/12 = sin5pi/12.
In the next part of this article of this article we discuss the trigonometric significance of sin5pi/12, and there you can also learn what the search calculations form in the sidebar is used for.
What is sin 5Pi/12?
In a triangle which has one angle of pi/2, the sine of the angle of 5pi/12 is the ratio of the length of the opposite side o to the length of the hypotenuse h: sin 5pi/12 = o/h.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 5pi/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 5pi/12.
Bringing together the triangle definition and the unit circle definition of sine 5pi/12, o = y and h = r = 1. It follows that $y\hspace{5px} =\hspace{5px}\frac{opposite}{hypotenuse}\hspace{5px}=\hspace{5px}\sin 5\pi/12$.
Note that you can locate many terms including the sine5pi/12 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin5pi/12.
Along the same lines, using the aforementioned form, can you look up terms such as sin 5pi/12 value, sin 5pi/12, sin5pi/12 value and what is the sin of 5pi/12 radians, just to name a few.
Given the periodic property of sine of 5pi/12, to determine the sine of an angle > 2pi, e.g. 53/12 pi, calculate sin 53/12 pi as sin (53/12 pi mod 2pi) = sine of 5pi/12, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is sin 5pi/12 radians and what is the sin of 5pi/12 radians for example; reading our content they are no-brainers.
But, if there is something else about sine 5pi/12 you would like to know, fill in the form on the bottom of this post, or send us an email with a subject line such as sine 5pi/12 radians.
If our calculator and the information on sin5pi/12 have been helpful, please hit the sharing buttons to spread the word about our content, and don’t forget to bookmark us.
Or, even better, install absolutely free PWA app (see menu or sidebar)!
Thanks for visiting sin5pi/12 radians.
– Article written by Mark, last updated on February 26th, 2017