Tan 105° – Tan105° Value – What is the tan of 105 degrees? (2024)

Welcome to tan 105°, our post aboutthe tangent of 105 degrees.

For the tangent of 105 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 105°.

If you have been looking for what is tan 105°, or if you have been wondering about tan 105 degrees in radians, then you are right here, too.

In this post you can find the tan 105° value, along with identities.

Read on to learn all about the tan of 105°.

Tan 105 Degrees

If you want to know what is tan 105 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 105°:

The tan of 105 degrees is -(2+√3), the same as tan of 105 degrees in radians. To obtain 105 degrees in radian multiply 105° by $\pi$ / 180° = 7/12 $\pi$. Tan 105degrees = tan (7/12 × $\pi)$.

Our results of tan105° have been rounded to five decimal places. If you want tangent 105° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate tan 105 degrees insert the angle 105 in the field labelled °, but if you want to calculate tan 105 in radians, then you have to press the swap unit button first.

A Really Cool Tangent Calculator and Useful Information! Please ReTweet. Click To TweetBesides tan105°, similar trigonometric calculations on our site include, but are not limited, to:

• Tan 114°
• Tg -2.84
• Tg -4.25

The identities of tangent 105° are as follows:

Note that tan105° is periodic: tan (105° + n × 180°) = tan 105 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 105°), half angle ((105/2)°) as well as the sum, difference and products of two angles such as 105° and β.

You can locate all of them in the respective article found in the header menu. To find everything about tan -105° click the link. And here is all about cot 105°, including, for instance, a converter.

In terms of the other five trigonometric functions, tan of 105° =

• $\pm\frac{\sin 105^\circ}{\sqrt{1 – \sin^{2} 105^\circ}}$
• $\pm\frac{\sqrt{1 – \cos^{2} 105^\circ}}{\cos 105^\circ}$
• $\pm \sqrt{\sec^{2} 105^\circ -1}$
• $\pm\frac{1}{\sqrt{\csc^2 105^\circ – 1}}$
• $\frac{1}{\cot 105^\circ}$

As the cotangent function is the reciprocal of the tangent function, 1 / cot 105° = tan105°.

In the next part of this article we discuss the trigonometric significance of tan105°, and there you can also learn what the search calculations form in the sidebar is used for.

What is tan 105°?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 105 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 105°, x = cos 105° and tan 105° = sin 105°/cos 105°.

Note that you can locate many terms including the tangent105° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan105°.

Along the same lines, using the aforementioned form, can you look up terms such as tan 105° value, tan 105, tan105° value and what is the tan of 105 degrees, just to name a few.

Given the periodicity of tangent of 105°, to determine the tangent of an angle > 180°, e.g. 825°, calculate tan 825° as tan (825 Mod 180)° = tangent of 105°, or look it up with our form.

Conclusion

The frequently asked questions in the context include what is tan 105 degrees and what is the tan of 105 degrees for example; reading our content they are no-brainers.

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– Article written by Mark, last updated on February 26th, 2017