Sin Pi/12

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

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

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

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

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

Sin Pi/12 Radians

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

sinpi/12 = (√6-√2)/4
sin pi/12 = (√6-√2)/4
sin pi/12 radians = (√6-√2)/4

The sin of pi/12 radians is (√6-√2)/4, the same as sin of pi/12 radians in degrees. To change pi/12 radians to degrees multiply pi/12 by 180° / $\pi$ = 15°. Sin pi/12 = sin 15 degrees.

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

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

A Really Cool Sine Calculator and Useful Information! Please ReTweet. Click To TweetBesides sinpi/12, similar trigonometric calculations on our site include, but are not limited, to:

• Sin -2π
• Sin -600°
• Sin -23Pi/12

The identities of sine pi/12 are as follows:

sinpi/12
= cos (pi/2 – pi/12) = cos 5/12 pi
= sin (pi – pi/12) = sin 11/12 pi

-sinpi/12
= cos (pi/2 + pi/12) = cos 7/12 pi
= sin (pi + pi/12) = sin 13/12 pi

Note that sinpi/12 is periodic: sin (pi/12 + n × 2pi) = sin pi/12, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

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

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

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

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

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

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

What is sin Pi/12?

In a triangle which has one angle of pi/2, the sine of the angle of pi/12 is the ratio of the length of the opposite side o to the length of the hypotenuse h: sin pi/12 = o/h.

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

Bringing together the triangle definition and the unit circle definition of sine pi/12, o = y and h = r = 1. It follows that $y\hspace{5px} =\hspace{5px}\frac{opposite}{hypotenuse}\hspace{5px}=\hspace{5px}\sin \pi/12$.

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

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

Given the periodic property of sine of pi/12, to determine the sine of an angle > 2pi, e.g. 49/12 pi, calculate sin 49/12 pi as sin (49/12 pi mod 2pi) = sine of pi/12, or look it up with our form.

Conclusion

The frequently asked questions in the context include what is sin pi/12 radians and what is the sin of pi/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