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Welcome to ctg 3pi/4, our post aboutthe cotangent of 3pi/4.
For the cotangent of 3pi/4 we use the abbreviation ctg for the trigonometric function and write it as ctg 3pi/4.
If you have been looking for what is ctg 3pi/4, or if you have been wondering about ctg 3pi/4 radians in degrees, then you are right here, too.
In this post you can find the ctg 3pi/4 value, along with identities.
Read on to learn all about the ctg of 3pi/4.
Ctg 3Pi/4 Radians
If you want to know what is ctg 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 ctg 3pi/4:
ctg 3pi/4 = -1
ctg 3pi/4 radians = -1
The ctg of 3pi/4 radians is -1, the same as ctg of 3pi/4 radians in degrees. To change 3pi/4 radians to degrees multiply 3pi/4 by 180° / $\pi$ = 135°. Ctg 3pi/4 = ctg 135 degrees.
Our results of ctg3pi/4 have been rounded to five decimal places. If you want cotangent 3pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate ctg 3pi/4 radians insert the angle 3pi/4 in decimal notation, but if you want to calculate ctg 3pi/4 in degrees, then you have to press the swap unit button first.
Calculate ctg [radians]
The identities of cotangent 3pi/4 are as follows:
= tg (pi/2 – 3pi/4) = tg -1/4 pi
-ctg3pi/4
= ctg (-3pi/4) = -ctg 3pi/4
= tg (pi/2 + 3pi/4) = tg 5/4 pi
= ctg (pi – 3pi/4) = ctg 1/4 pi
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 ctg -3pi/4 click the link. And here is all about tg 3pi/4, including, for instance, a converter.
In terms of the other five trigonometric functions, ctg of 3pi/4 =
- $\pm\frac{\sqrt{1 – \sin^{2} 3\pi/4}}{\sin 3\pi/4}$
- $\pm\frac{\cos 3\pi/4}{\sqrt{1 – \cos^{2} 3\pi/4}}$
- $\pm \sqrt{\csc^{2} (3\pi/4) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (3\pi/4) – 1}}$
- $\frac{1}{tg\hspace{3px}3\pi/4}$
As the tangent function is the reciprocal of the cotangent function, 1 / tg 3pi/4 = ctg3pi/4.
In the next part of this article we discuss the trigonometric significance of ctg3pi/4, and there you can also learn what the search calculations form in the sidebar is used for.
What is ctg 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.
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 3pi/4, x = cos 3pi/4 and ctg 3pi/4 = cos 3pi/4/sin 3pi/4.
Note that you can locate many terms including the cotangent3pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of ctg3pi/4.
Along the same lines, using the aforementioned form, can you look up terms such as ctg 3pi/4 value, ctg 3pi/4, ctg3pi/4 value and what is the ctg of 3pi/4 radians, just to name a few.
Given the periodicity of cotangent of 3pi/4, to determine the cotangent of an angle > pi, e.g. 19/4 pi, calculate ctg 19/4 pi as ctg (19/4 pi mod pi) = cotangent of 3pi/4, or use our form.
Conclusion
The frequently asked questions in the context include what is ctg 3pi/4 radians and what is the ctg of 3pi/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