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Sin 5Pi/4

Welcome to sin 5pi/4, our post aboutthe sine of 5pi/4 radians.

For the sine of 5pi/4 radians we use the abbreviation sin for the trigonometric function and write it as sin 5pi/4.

If you have been looking for what is sin 5pi/4, or if you have been wondering about sin 5pi/4 radians in degrees, then you are right here, too.

In this post you can find the sin 5pi/4 value, along with identities.

Read on to learn all about the sin of 5pi/4.

Sin 5Pi/4 Radians

If you want to know what is sin 5pi/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 5pi/4:

sin5pi/4 = -√(2)/2
sin 5pi/4 = -√(2)/2
sin 5pi/4 radians = -√(2)/2

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The sin of 5pi/4 radians is -√(2)/2, the same as sin of 5pi/4 radians in degrees. To change 5pi/4 radians to degrees multiply 5pi/4 by 180° / $\pi$ = 225°. Sin 5pi/4 = sin 225 degrees.

Our results of sin5pi/4 have been rounded to five decimal places. If you want sine 5pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate sin 5pi/4 radians insert the angle 5pi/4 in decimal notation, but if you want to calculate sin 5pi/4 in degrees, then you have to press the swap unit button first.

Calculate sin [radians]

A Really Cool Sine Calculator and Useful Information! Please ReTweet. Click To TweetBesides sin5pi/4, similar trigonometric calculations on our site include, but are not limited, to:

The identities of sine 5pi/4 are as follows:

sin5pi/4
= cos (pi/2 – 5pi/4) = cos -3/4 pi
= sin (pi – 5pi/4) = sin -1/4 pi

-sin5pi/4
= cos (pi/2 + 5pi/4) = cos 7/4 pi
= sin (pi + 5pi/4) = sin 9/4 pi

Note that sin5pi/4 is periodic: sin (5pi/4 + n × 2pi) = sin 5pi/4, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 5pi/4), half angle ((5pi/4/2)) as well as the sum, difference and products of two angles such as 5pi/4 and β.

You can locate all of them in the respective article found in the header menu. To find everything about sin -5pi/4 click the link. And here is all about cos 5pi/4, including, for instance, a converter.

In terms of the other five trigonometric functions, sin of 5pi/4 =

  • $\pm \sqrt{1-\cos^{2} 5\pi/4}$
  • $\pm\frac{\tan 5\pi/4}{\sqrt{1 + \tan^{2} 5\pi/4}}$
  • $\pm\frac{1}{\sqrt{1 + \cot^{2} 5\pi/4}}$
  • $\pm\frac{\sqrt{\sec^{2} (5\pi/4) – 1} }{\sec 5\pi/4}$
  • $\frac{1}{\csc 5\pi/4}$

As the cosecant function is the reciprocal of the sine function, 1 / csc 5pi/4 = sin5pi/4.

In the next part of this article of this article we discuss the trigonometric significance of sin5pi/4, and there you can also learn what the search calculations form in the sidebar is used for.

What is sin 5Pi/4?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 5pi/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 5pi/4.

Note that you can locate many terms including the sine5pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin5pi/4.

Along the same lines, using the aforementioned form, can you look up terms such as sin 5pi/4 value, sin 5pi/4, sin5pi/4 value and what is the sin of 5pi/4 radians, just to name a few.

Given the periodic property of sine of 5pi/4, to determine the sine of an angle > 2pi, e.g. 21/4 pi, calculate sin 21/4 pi as sin (21/4 pi mod 2pi) = sine of 5pi/4, or look it up with our form.

Conclusion

Sin 5Pi/4The frequently asked questions in the context include what is sin 5pi/4 radians and what is the sin of 5pi/4 radians for example; reading our content they are no-brainers.

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Thanks for visiting sin5pi/4 radians.

– Article written by Mark, last updated on February 26th, 2017

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