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Welcome to tan 37°, our post aboutthe tangent of 37 degrees.
For the tangent of 37 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 37°.
If you have been looking for what is tan 37°, or if you have been wondering about tan 37 degrees in radians, then you are right here, too.
In this post you can find the tan 37° value, along with identities.
Read on to learn all about the tan of 37°.
Tan 37 Degrees
If you want to know what is tan 37 degrees in terms of trigonometry, then navigate straight to the explanations in the next paragraph; what’s ahead in this section is the value of tan 37°:
tan 37° = 0.75355
tan 37 degrees = 0.75355
The tan of 37 degrees is 0.75355, the same as tan of 37 degrees in radians. To obtain 37 degrees in radian multiply 37° by $\pi$ / 180° = 37/180 $\pi$. Tan 37degrees = tan (37/180 × $\pi)$.
Our results of tan37° have been rounded to five decimal places. If you want tangent 37° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tan 37 degrees insert the angle 37 in the field labelled °, but if you want to calculate tan 37 in radians, then you have to press the swap unit button first.
Calculate tan [degrees]
The identities of tangent 37° are as follows:
= cot (90°-37°) = cot 53°
-tan37°
= tan (-37°) = -tan 37°
= cot (90°+37°) = cot 127°
= tan (180°-37°) = tan 143°
There are more formulas for the double angle (2 × 37°), half angle ((37/2)°) as well as the sum, difference and products of two angles such as 37° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tan -37° click the link. And here is all about cot 37°, including, for instance, a converter.
In terms of the other five trigonometric functions, tan of 37° =
- $\pm\frac{\sin 37^\circ}{\sqrt{1 – \sin^{2} 37^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 37^\circ}}{\cos 37^\circ}$
- $\pm \sqrt{\sec^{2} 37^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 37^\circ – 1}}$
- $\frac{1}{\cot 37^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / cot 37° = tan37°.
In the next part of this article we discuss the trigonometric significance of tan37°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tan 37°?
In a triangle which has one angle of 90 degrees, the tangent of the angle of 37° is the ratio of the length of the opposite side o to the length of the adjacent side a: tan 37° = o/a.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 37 degrees 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 37°, x = cos 37° and tan 37° = sin 37°/cos 37°.
Bringing together the triangle definition and the unit circle definition of tangent 37 degrees, a = x, o = y and h = r = 1. It follows that $y/x\hspace{5px} =\hspace{5px}\frac{opposite}{adjacent}\hspace{5px}=\hspace{5px}\tan 37^\circ$.
Note that you can locate many terms including the tangent37° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan37°.
Along the same lines, using the aforementioned form, can you look up terms such as tan 37° value, tan 37, tan37° value and what is the tan of 37 degrees, just to name a few.
Given the periodicity of tangent of 37°, to determine the tangent of an angle > 180°, e.g. 757°, calculate tan 757° as tan (757 Mod 180)° = tangent of 37°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tan 37 degrees and what is the tan of 37 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 18th, 2017