Home » Cosine » Cos 5Pi/4

Cos 5Pi/4

  • by

Welcome to cos 5pi/4, our post aboutthe cosine of 5pi/4.

For the cosine of 5pi/4 we use the abbreviation cos for the trigonometric function and write it as cos 5pi/4.

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

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

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

Cos 5Pi/4 Radians

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

cos5pi/4 = -√(2)/2
cos 5pi/4 = -√(2)/2
cos 5pi/4 radians = -√(2)/2

Share on Facebook

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

Our results of cos5pi/4 have been rounded to five decimal places. If you want cosine 5pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

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

Calculate cos [radians]

A Really Cool Cosine Calculator and Useful Information! Please ReTweet. Click To TweetBesides cos5pi/4, similar trigonometric calculations on our site include, but are not limited, to:

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

= sin (pi/2 + 5pi/4) = sin 7/4 pi
= sin (pi/2 – 5pi/4) = sin -3/4 pi

= cos (pi + 5pi/4) = cos 9/4 pi
= cos (pi – 5pi/4) = cos -1/4 pi

Note that cos5pi/4 is periodic: cos (5pi/4 + n × 2pi) = cos 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 cos -5pi/4 click the link. And here is all about sin 5pi/4, including, for instance, a converter.

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

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

As the cosine function is the reciprocal of the secant function, 1 / sec 5pi/4 = cos5pi/4.

In the next part we discuss the trigonometric significance of cos5pi/4, and there you can also learn what the search calculations form in the sidebar is used for.

What is cos 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, x = cos 5pi/4.

Note that you can locate many terms including the cosine5pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of cos5pi/4.

Along the same lines, using the aforementioned form, can you look up terms such as cos 5pi/4 value, cos 5pi/4, cos5pi/4 value and what is the cos of 5pi/4 radians, just to name a few.

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


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

But, if there is something else about cosine 5pi/4 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 cosine 5pi/4 radians.

If our calculator and the information on cos5pi/4 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 cos5pi/4 radians.