Skip to content
Home » Tangent » Tan 53°

Tan 53°

Welcome to tan 53°, our post aboutthe tangent of 53 degrees.

For the tangent of 53 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 53°.

If you have been looking for what is tan 53°, or if you have been wondering about tan 53 degrees in radians, then you are right here, too.

In this post you can find the tan 53° value, along with identities.

Read on to learn all about the tan of 53°.

Tan 53 Degrees

If you want to know what is tan 53 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 53°:

tan53° = 1.32704
tan 53° = 1.32704
tan 53 degrees = 1.32704

Share on Facebook

The tan of 53 degrees is 1.32704, the same as tan of 53 degrees in radians. To obtain 53 degrees in radian multiply 53° by $\pi$ / 180° = 53/180 $\pi$. Tan 53degrees = tan (53/180 × $\pi)$.

Our results of tan53° have been rounded to five decimal places. If you want tangent 53° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate tan 53 degrees insert the angle 53 in the field labelled °, but if you want to calculate tan 53 in radians, then you have to press the swap unit button first.

Calculate tan [degrees]

A Really Cool Tangent Calculator and Useful Information! Please ReTweet. Click To TweetBesides tan53°, similar trigonometric calculations on our site include, but are not limited, to:

The identities of tangent 53° are as follows:

tan53°
= cot (90°-53°) = cot 37°

-tan53°
= tan (-53°) = -tan 53°
= cot (90°+53°) = cot 143°
= tan (180°-53°) = tan 127°

Note that tan53° is periodic: tan (53° + n × 180°) = tan 53 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 53°), half angle ((53/2)°) as well as the sum, difference and products of two angles such as 53° and β.

You can locate all of them in the respective article found in the header menu. To find everything about tan -53° click the link. And here is all about cot 53°, including, for instance, a converter.

In terms of the other five trigonometric functions, tan of 53° =

  • $\pm\frac{\sin 53^\circ}{\sqrt{1 – \sin^{2} 53^\circ}}$
  • $\pm\frac{\sqrt{1 – \cos^{2} 53^\circ}}{\cos 53^\circ}$
  • $\pm \sqrt{\sec^{2} 53^\circ -1}$
  • $\pm\frac{1}{\sqrt{\csc^2 53^\circ – 1}}$
  • $\frac{1}{\cot 53^\circ}$

As the cotangent function is the reciprocal of the tangent function, 1 / cot 53° = tan53°.

In the next part of this article we discuss the trigonometric significance of tan53°, and there you can also learn what the search calculations form in the sidebar is used for.

What is tan 53°?

In a triangle which has one angle of 90 degrees, the tangent of the angle of 53° is the ratio of the length of the opposite side o to the length of the adjacent side a: tan 53° = o/a.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 53 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 53°, x = cos 53° and tan 53° = sin 53°/cos 53°.

Bringing together the triangle definition and the unit circle definition of tangent 53 degrees, a = x, o = y and h = r = 1. It follows that $y/x\hspace{5px} =\hspace{5px}\frac{opposite}{adjacent}\hspace{5px}=\hspace{5px}\tan 53^\circ$.

Note that you can locate many terms including the tangent53° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan53°.

Along the same lines, using the aforementioned form, can you look up terms such as tan 53° value, tan 53, tan53° value and what is the tan of 53 degrees, just to name a few.

Given the periodicity of tangent of 53°, to determine the tangent of an angle > 180°, e.g. 773°, calculate tan 773° as tan (773 Mod 180)° = tangent of 53°, or look it up with our form.

Conclusion

Tan 53°The frequently asked questions in the context include what is tan 53 degrees and what is the tan of 53 degrees for example; reading our content they are no-brainers.

But, if there is something else about tangent 53° you would like to know, fill in the form on the bottom of this post, or send us an email with a subject line such as tangent 53 degrees.

If our calculator and the information on tan53° have been helpful, please hit the sharing buttons to spread the word about our content, and don’t forget to bookmark us.

Or, even better, install absolutely free PWA app (see menu or sidebar)!

Thanks for visiting tan53 degrees.

– Article written by Mark, last updated on February 18th, 2017

Leave a Reply

Your email address will not be published. Required fields are marked *