Tan 150° – Tan150° Value – What is the tan of 150 degrees? (2024)

Welcome to tan 150°, our post aboutthe tangent of 150 degrees.

For the tangent of 150 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 150°.

If you have been looking for what is tan 150°, or if you have been wondering about tan 150 degrees in radians, then you are right here, too.

In this post you can find the tan 150° value, along with identities.

Read on to learn all about the tan of 150°.

Tan 150 Degrees

If you want to know what is tan 150 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 150°:

The tan of 150 degrees is -√(3)/3, the same as tan of 150 degrees in radians. To obtain 150 degrees in radian multiply 150° by $\pi$ / 180° = 5/6 $\pi$. Tan 150degrees = tan (5/6 × $\pi)$.

Our results of tan150° have been rounded to five decimal places. If you want tangent 150° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate tan 150 degrees insert the angle 150 in the field labelled °, but if you want to calculate tan 150 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 tan150°, similar trigonometric calculations on our site include, but are not limited, to:

• Tan 0.91
• Tan 42°
• Tg 354°

The identities of tangent 150° are as follows:

Note that tan150° is periodic: tan (150° + n × 180°) = tan 150 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 150°), half angle ((150/2)°) as well as the sum, difference and products of two angles such as 150° and β.

You can locate all of them in the respective article found in the header menu. To find everything about tan -150° click the link. And here is all about cot 150°, including, for instance, a converter.

In terms of the other five trigonometric functions, tan of 150° =

• $\pm\frac{\sin 150^\circ}{\sqrt{1 – \sin^{2} 150^\circ}}$
• $\pm\frac{\sqrt{1 – \cos^{2} 150^\circ}}{\cos 150^\circ}$
• $\pm \sqrt{\sec^{2} 150^\circ -1}$
• $\pm\frac{1}{\sqrt{\csc^2 150^\circ – 1}}$
• $\frac{1}{\cot 150^\circ}$

As the cotangent function is the reciprocal of the tangent function, 1 / cot 150° = tan150°.

In the next part of this article we discuss the trigonometric significance of tan150°, and there you can also learn what the search calculations form in the sidebar is used for.

What is tan 150°?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 150 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 150°, x = cos 150° and tan 150° = sin 150°/cos 150°.

Note that you can locate many terms including the tangent150° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan150°.

Along the same lines, using the aforementioned form, can you look up terms such as tan 150° value, tan 150, tan150° value and what is the tan of 150 degrees, just to name a few.

Given the periodicity of tangent of 150°, to determine the tangent of an angle > 180°, e.g. 870°, calculate tan 870° as tan (870 Mod 180)° = tangent of 150°, or look it up with our form.

Conclusion

The frequently asked questions in the context include what is tan 150 degrees and what is the tan of 150 degrees for example; reading our content they are no-brainers.

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