Tan 390 Degrees: Tangent of 390° on the Unit Circle

What is tan 390°?

Answer

tan 390° =

√3/3 ≈ 0.5774

Angle in radians: 390° = 13π/6. 390° = 360° + 30° — a full turn plus 30°, quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places.

tan 390° = tan(390° − 360°) = tan 30°

tan 390° = sin 390° / cos 390° = (1/2) / (√3/2) = √3/3

Half of an equilateral triangle with side 1: the hypotenuse is 1 and the leg opposite 30° is 1/2.

tan 30° = (1/2) / (√3/2) = 1/√3 = √3/3

P(cos 390°, sin 390°) ≈ (0.8660, 0.5)

T(1, tan 390°) ≈ (1, 0.5774) — where line OP meets the line x = 1.

+1 turn: the drawing shows 30°.

Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
Square Root Calculator - Calculate the square root of any number
Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples

Share This Calculation

Print

https://calculat.io/en/number/trigonometry/tan--390

<a href="https://calculat.io/en/number/trigonometry/tan--390">Tan 390 Degrees: Tangent of 390° on the Unit Circle</a>

Facebook

Twitter

Viber

Email

https://calculat.io/en/number/trigonometry/tan--390/generated.jpg