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Welcome to tan 62°, our post aboutthe tangent of 62 degrees.
For the tangent of 62 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 62°.
If you have been looking for what is tan 62°, or if you have been wondering about tan 62 degrees in radians, then you are right here, too.
In this post you can find the tan 62° value, along with identities.
Read on to learn all about the tan of 62°.
Tan 62 Degrees
If you want to know what is tan 62 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 62°:
tan 62° = 1.88073
tan 62 degrees = 1.88073
The tan of 62 degrees is 1.88073, the same as tan of 62 degrees in radians. To obtain 62 degrees in radian multiply 62° by $\pi$ / 180° = 31/90 $\pi$. Tan 62degrees = tan (31/90 × $\pi)$.
Our results of tan62° have been rounded to five decimal places. If you want tangent 62° with higher accuracy, then use the calculator below; our tool displays ten decimal places.
To calculate tan 62 degrees insert the angle 62 in the field labelled °, but if you want to calculate tan 62 in radians, then you have to press the swap unit button first.
Calculate tan [degrees]
The identities of tangent 62° are as follows:
= cot (90°-62°) = cot 28°
-tan62°
= tan (-62°) = -tan 62°
= cot (90°+62°) = cot 152°
= tan (180°-62°) = tan 118°
There are more formulas for the double angle (2 × 62°), half angle ((62/2)°) as well as the sum, difference and products of two angles such as 62° and β.
You can locate all of them in the respective article found in the header menu. To find everything about tan -62° click the link. And here is all about cot 62°, including, for instance, a converter.
In terms of the other five trigonometric functions, tan of 62° =
- $\pm\frac{\sin 62^\circ}{\sqrt{1 – \sin^{2} 62^\circ}}$
- $\pm\frac{\sqrt{1 – \cos^{2} 62^\circ}}{\cos 62^\circ}$
- $\pm \sqrt{\sec^{2} 62^\circ -1}$
- $\pm\frac{1}{\sqrt{\csc^2 62^\circ – 1}}$
- $\frac{1}{\cot 62^\circ}$
As the cotangent function is the reciprocal of the tangent function, 1 / cot 62° = tan62°.
In the next part of this article we discuss the trigonometric significance of tan62°, and there you can also learn what the search calculations form in the sidebar is used for.
What is tan 62°?
In a triangle which has one angle of 90 degrees, the tangent of the angle of 62° is the ratio of the length of the opposite side o to the length of the adjacent side a: tan 62° = o/a.
In a circle with the radius r, the horizontal axis x, and the vertical axis y, 62 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 62°, x = cos 62° and tan 62° = sin 62°/cos 62°.
Bringing together the triangle definition and the unit circle definition of tangent 62 degrees, a = x, o = y and h = r = 1. It follows that $y/x\hspace{5px} =\hspace{5px}\frac{opposite}{adjacent}\hspace{5px}=\hspace{5px}\tan 62^\circ$.
Note that you can locate many terms including the tangent62° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan62°.
Along the same lines, using the aforementioned form, can you look up terms such as tan 62° value, tan 62, tan62° value and what is the tan of 62 degrees, just to name a few.
Given the periodicity of tangent of 62°, to determine the tangent of an angle > 180°, e.g. 782°, calculate tan 782° as tan (782 Mod 180)° = tangent of 62°, or look it up with our form.
Conclusion
The frequently asked questions in the context include what is tan 62 degrees and what is the tan of 62 degrees for example; reading our content they are no-brainers.
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– Article written by Mark, last updated on February 18th, 2017