For the sine of 3pi/4 radians we use the abbreviation sin for the trigonometric function and write it as sin 3pi/4.

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If you have been looking for what is sin 3pi/4, or if you have been wondering about sin 3pi/4 radians in degrees, then you are right here, too.

In this post you can find the sin 3pi/4 value, along with identities.

If you want to know what is sin 3pi/4 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 3pi/4:

sin3pi/4 = √(2)/2sin 3pi/4 = √(2)/2sin 3pi/4 radians = √(2)/2" onclick="if (!window.__cfRLUnblockHandlers) return false; return fbs_click()" target="_blank" rel="nofollow noopener noreferrer" data-cf-modified-502472059a496219281abfbd-="">

The sin of 3pi/4 radians is √(2)/2, the same as sin of 3pi/4 radians in degrees. To change 3pi/4 radians to degrees multiply 3pi/4 by 180° / $\pi$ = 135°. Sin 3pi/4 = sin 135 degrees.

Our results of sin3pi/4 have been rounded to five decimal places. If you want sine 3pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate sin 3pi/4 radians insert the angle 3pi/4 in decimal notation, but if you want to calculate sin 3pi/4 in degrees, then you have to press the swap unit button first.

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The identities of sine 3pi/4 are as follows:sin3pi/4= cos (pi/2 – 3pi/4) = cos -1/4 pi= sin (pi – 3pi/4) = sin 1/4 pi

-sin3pi/4= cos (pi/2 + 3pi/4) = cos 5/4 pi= sin (pi + 3pi/4) = sin 7/4 piNote that sin3pi/4 is periodic: sin (3pi/4 + n × 2pi) = sin 3pi/4, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 3pi/4), half angle ((3pi/4/2)) as well as the sum, difference and products of two angles such as 3pi/4 and β.

You can locate all of them in the respective article found in the header menu. To find everything about sin -3pi/4 click the link. And here is all about cos 3pi/4, including, for instance, a converter.

In terms of the other five trigonometric functions, sin of 3pi/4 =

$\pm \sqrt{1-\cos^{2} 3\pi/4}$ $\pm\frac{\tan 3\pi/4}{\sqrt{1 + \tan^{2} 3\pi/4}}$ $\pm\frac{1}{\sqrt{1 + \cot^{2} 3\pi/4}}$ $\pm\frac{\sqrt{\sec^{2} (3\pi/4) – 1} }{\sec 3\pi/4}$ $\frac{1}{\csc 3\pi/4}$

As the cosecant function is the reciprocal of the sine function, 1 / csc 3pi/4 = sin3pi/4.

In the next part of this article of this article we discuss the trigonometric significance of sin3pi/4, and there you can also learn what the search calculations form in the sidebar is used for.

## What is sin 3Pi/4?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 3pi/4 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 3pi/4.

Note that you can locate many terms including the sine3pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin3pi/4.

Along the same lines, using the aforementioned form, can you look up terms such as sin 3pi/4 value, sin 3pi/4, sin3pi/4 value and what is the sin of 3pi/4 radians, just to name a few.

Given the periodic property of sine of 3pi/4, to determine the sine of an angle > 2pi, e.g. 19/4 pi, calculate sin 19/4 pi as sin (19/4 pi mod 2pi) = sine of 3pi/4, or look it up with our form.

## Conclusion

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