Tan 39 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 39°?
Answer
tan 39° ≈
0.8098
Angle in radians: 39° = 13π/60. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 39° in square roots exists, but it is unwieldy — nested radicals.
tan 39° = sin 39° / cos 39° ≈ 0.8098
P(cos 39°, sin 39°) ≈ (0.7771, 0.6293)
T(1, tan 39°) ≈ (1, 0.8098) — where line OP meets the line x = 1.
See Also
- 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
Tangent of nearby angles
FAQ
What is tan 39°?
tan 39° ≈ 0.8098
Is there an exact value of tan 39°?
Yes: 39° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 39° ≈ 0.8098.
Why does a calculator show 3.6146 for tan 39?
The calculator is in radian mode (RAD): it takes tan 39 as the tangent of 39 radians, tan 39 rad ≈ 3.6146. Switch it to degrees (DEG): tan 39° ≈ 0.8098. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Tan 29 Degrees: Tangent of 29° on the Unit Circle
- Tan 30 Degrees: Tangent of 30° on the Unit Circle
- Tan 31 Degrees: Tangent of 31° on the Unit Circle
- Tan 32 Degrees: Tangent of 32° on the Unit Circle
- Tan 33 Degrees: Tangent of 33° on the Unit Circle
- Tan 34 Degrees: Tangent of 34° on the Unit Circle
- Tan 35 Degrees: Tangent of 35° on the Unit Circle
- Tan 36 Degrees: Tangent of 36° on the Unit Circle
- Tan 37 Degrees: Tangent of 37° on the Unit Circle
- Tan 38 Degrees: Tangent of 38° on the Unit Circle
- Tan 40 Degrees: Tangent of 40° on the Unit Circle
- Tan 41 Degrees: Tangent of 41° on the Unit Circle
- Tan 42 Degrees: Tangent of 42° on the Unit Circle
- Tan 43 Degrees: Tangent of 43° on the Unit Circle
- Tan 44 Degrees: Tangent of 44° on the Unit Circle
- Tan 45 Degrees: Tangent of 45° on the Unit Circle
- Tan 46 Degrees: Tangent of 46° on the Unit Circle
- Tan 47 Degrees: Tangent of 47° on the Unit Circle
- Tan 48 Degrees: Tangent of 48° on the Unit Circle
- Tan 49 Degrees: Tangent of 49° on the Unit Circle
- Тангенс 39 градусов (tg 39°) на единичной окружности
- Tangente de 39 grados (tan 39°) en el círculo unitario
- Tangente de 39 graus (tg 39°) no ciclo trigonométrico