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Ctg 5Pi/4

Welcome to ctg 5pi/4, our post aboutthe cotangent of 5pi/4.

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

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

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

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

Ctg 5Pi/4 Radians

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

ctg5pi/4 = 1
ctg 5pi/4 = 1
ctg 5pi/4 radians = 1

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The ctg of 5pi/4 radians is 1, the same as ctg of 5pi/4 radians in degrees. To change 5pi/4 radians to degrees multiply 5pi/4 by 180° / $\pi$ = 225°. Ctg 5pi/4 = ctg 225 degrees.

Our results of ctg5pi/4 have been rounded to five decimal places. If you want cotangent 5pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.

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

Calculate ctg [radians]

A Really Cool Cotangent Calculator and Useful Information! Please ReTweet. Click To TweetBesides ctg5pi/4, similar trigonometric calculations on our site include, but are not limited, to:

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

ctg5pi/4
= tg (pi/2 – 5pi/4) = tg -3/4 pi

-ctg5pi/4
= ctg (-5pi/4) = -ctg 5pi/4
= tg (pi/2 + 5pi/4) = tg 7/4 pi
= ctg (pi – 5pi/4) = ctg -1/4 pi

Note that ctg5pi/4 is periodic: ctg (5pi/4 + n × pi) = ctg 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 ctg -5pi/4 click the link. And here is all about tg 5pi/4, including, for instance, a converter.

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

  • $\pm\frac{\sqrt{1 – \sin^{2} 5\pi/4}}{\sin 5\pi/4}$
  • $\pm\frac{\cos 5\pi/4}{\sqrt{1 – \cos^{2} 5\pi/4}}$
  • $\pm \sqrt{\csc^{2} (5\pi/4) – 1}$
  • $\pm\frac{1}{\sqrt{\csc^2 (5\pi/4) – 1}}$
  • $\frac{1}{tg\hspace{3px}5\pi/4}$

As the tangent function is the reciprocal of the cotangent function, 1 / tg 5pi/4 = ctg5pi/4.

In the next part of this article we discuss the trigonometric significance of ctg5pi/4, and there you can also learn what the search calculations form in the sidebar is used for.

What is ctg 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.

Applying the unit-circle definition found on our homepage, assumed r = 1, in the intersection of the point (x,y) and the circle, y = sin 5pi/4, x = cos 5pi/4 and ctg 5pi/4 = cos 5pi/4/sin 5pi/4.

Note that you can locate many terms including the cotangent5pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of ctg5pi/4.

Along the same lines, using the aforementioned form, can you look up terms such as ctg 5pi/4 value, ctg 5pi/4, ctg5pi/4 value and what is the ctg of 5pi/4 radians, just to name a few.

Given the periodicity of cotangent of 5pi/4, to determine the cotangent of an angle > pi, e.g. 21/4 pi, calculate ctg 21/4 pi as ctg (21/4 pi mod pi) = cotangent of 5pi/4, or use our form.

Conclusion

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

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

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