Tan 300° – Tan300° Value – What is the tan of 300 degrees? (2024)

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Welcome to tan 300°, our post aboutthe tangent of 300 degrees.

For the tangent of 300 degrees we use the abbreviation tan for the trigonometric function together with the degree symbol °, and write it as tan 300°.

If you have been looking for what is tan 300°, or if you have been wondering about tan 300 degrees in radians, then you are right here, too.

In this post you can find the tan 300° value, along with identities.

Read on to learn all about the tan of 300°.

Tan 300 Degrees

If you want to know what is tan 300 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 300°:

tan300° = -√3
tan 300° = -√3
tan 300 degrees = -√3

Tan 300° – Tan300° Value – What is the tan of 300 degrees? (1)

The tan of 300 degrees is -√3, the same as tan of 300 degrees in radians. To obtain 300 degrees in radian multiply 300° by $\pi$ / 180° = 5/3 $\pi$. Tan 300degrees = tan (5/3 × $\pi)$.

Our results of tan300° have been rounded to five decimal places. If you want tangent 300° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate tan 300 degrees insert the angle 300 in the field labelled °, but if you want to calculate tan 300 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 tan300°, similar trigonometric calculations on our site include, but are not limited, to:

  • Tg -272°
  • Tg -0.1
  • Tan 121°

The identities of tangent 300° are as follows:

tan300°
= cot (90°-300°) = cot -210°

-tan300°
= tan (-300°) = -tan 300°
= cot (90°+300°) = cot 390°
= tan (180°-300°) = tan -120°

Note that tan300° is periodic: tan (300° + n × 180°) = tan 300 degrees, n$\hspace{5px} \in \hspace{5px} \mathbb{Z}$.

There are more formulas for the double angle (2 × 300°), half angle ((300/2)°) as well as the sum, difference and products of two angles such as 300° and β.

You can locate all of them in the respective article found in the header menu. To find everything about tan -300° click the link. And here is all about cot 300°, including, for instance, a converter.

In terms of the other five trigonometric functions, tan of 300° =

  • $\pm\frac{\sin 300^\circ}{\sqrt{1 – \sin^{2} 300^\circ}}$
  • $\pm\frac{\sqrt{1 – \cos^{2} 300^\circ}}{\cos 300^\circ}$
  • $\pm \sqrt{\sec^{2} 300^\circ -1}$
  • $\pm\frac{1}{\sqrt{\csc^2 300^\circ – 1}}$
  • $\frac{1}{\cot 300^\circ}$

As the cotangent function is the reciprocal of the tangent function, 1 / cot 300° = tan300°.

In the next part of this article we discuss the trigonometric significance of tan300°, and there you can also learn what the search calculations form in the sidebar is used for.

What is tan 300°?

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 300 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 300°, x = cos 300° and tan 300° = sin 300°/cos 300°.

Note that you can locate many terms including the tangent300° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of tan300°.

Along the same lines, using the aforementioned form, can you look up terms such as tan 300° value, tan 300, tan300° value and what is the tan of 300 degrees, just to name a few.

Given the periodicity of tangent of 300°, to determine the tangent of an angle > 180°, e.g. 1020°, calculate tan 1020° as tan (1020 Mod 180)° = tangent of 300°, or look it up with our form.

Conclusion

Tan 300° – Tan300° Value – What is the tan of 300 degrees? (2)The frequently asked questions in the context include what is tan 300 degrees and what is the tan of 300 degrees for example; reading our content they are no-brainers.

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

Tan 300° – Tan300° Value – What is the tan of 300 degrees? (2024)

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