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Welcome to tg 3pi/4, our post aboutthe tangent of 3pi/4.
For the tangent of 3pi/4 we use the abbreviation tg for the trigonometric function and write it as tg 3pi/4.
If you have been looking for what is tg 3pi/4, or if you have been wondering about tg 3pi/4 radians in degrees, then you are right here, too.
In this post you can find the tg 3pi/4 value, along with identities.
Read on to learn all about the tg of 3pi/4.
Tg 3Pi/4 Radians
If you want to know what is tg 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 tg 3pi/4:
tg 3pi/4 = -1
tg 3pi/4 radians = -1
The tg of 3pi/4 radians is -1, the same as tg of 3pi/4 radians in degrees. To change 3pi/4 radians to degrees multiply 3pi/4 by 180° / $\pi$ = 135°. Tg 3pi/4 = tg 135 degrees.
Our results of tg3pi/4 have been rounded to five decimal places. If you want tangent 3pi/4 with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tg 3pi/4 radians insert the angle 3pi/4 in decimal notation, but if you want to calculate tg 3pi/4 in degrees, then you have to press the swap unit button first.
Calculate tg [radians]
The identities of tangent 3pi/4 are as follows:
= ctg (pi/2 – 3pi/4) = ctg -1/4 pi
-tg3pi/4
= tg (-3pi/4) = -tg 3pi/4
= ctg (pi/2 + 3pi/4) = ctg 5/4 pi
= tg (pi – 3pi/4) = tg 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 tg -3pi/4 click the link. And here is all about ctg 3pi/4, including, for instance, a converter.
In terms of the other five trigonometric functions, tg of 3pi/4 =
- $\pm\frac{\sin 3\pi/4}{\sqrt{1 – \sin^{2} 3\pi/4}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 3\pi/4}}{\cos 3\pi/4}$
- $\pm \sqrt{\sec^{2} (3\pi/4) – 1}$
- $\pm\frac{1}{\sqrt{\csc^2 (3\pi/4) – 1}}$
- $\frac{1}{ctg \hspace{3px}3\pi/4}$
As the cotangent function is the reciprocal of the tangent function, 1 / ctg 3pi/4 = tg3pi/4.
In the next part of this article we discuss the trigonometric significance of tg3pi/4, and there you can also learn what the search calculations form in the sidebar is used for.
What is tg 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 tg 3pi/4 = sin 3pi/4/cos 3pi/4.
Note that you can locate many terms including the tangent3pi/4 value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tg3pi/4.
Along the same lines, using the aforementioned form, can you look up terms such as tg 3pi/4 value, tg 3pi/4, tg3pi/4 value and what is the tg of 3pi/4 radians, just to name a few.
Given the periodicity of tangent of 3pi/4, to determine the tangent of an angle > pi, e.g. 19/4 pi, calculate tg 19/4 pi as tg (19/4 pi mod pi) = tangent of 3pi/4, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tg 3pi/4 radians and what is the tg 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