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# Cos 5Pi/4

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.

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 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.

Besides cos5pi/4, similar trigonometric calculations on our site include, but are not limited, to:

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

cos5pi/4
= sin (pi/2 + 5pi/4) = sin 7/4 pi
= sin (pi/2 – 5pi/4) = sin -3/4 pi

-cos5pi/4
= 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.

## Conclusion

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.

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