Tan 57 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 57°?
Answer
tan 57° ≈
1.5399
Angle in radians: 57° = 19π/60. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 57° in square roots exists, but it is unwieldy — nested radicals.
tan 57° = sin 57° / cos 57° ≈ 1.5399
P(cos 57°, sin 57°) ≈ (0.5446, 0.8387)
T(1, tan 57°) ≈ (1, 1.5399) — 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 57°?
tan 57° ≈ 1.5399
Is there an exact value of tan 57°?
Yes: 57° 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 57° ≈ 1.5399.
Why does a calculator show 0.4847 for tan 57?
The calculator is in radian mode (RAD): it takes tan 57 as the tangent of 57 radians, tan 57 rad ≈ 0.4847. Switch it to degrees (DEG): tan 57° ≈ 1.5399. 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 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
- Tan 50 Degrees: Tangent of 50° on the Unit Circle
- Tan 51 Degrees: Tangent of 51° on the Unit Circle
- Tan 52 Degrees: Tangent of 52° on the Unit Circle
- Tan 53 Degrees: Tangent of 53° on the Unit Circle
- Tan 54 Degrees: Tangent of 54° on the Unit Circle
- Tan 55 Degrees: Tangent of 55° on the Unit Circle
- Tan 56 Degrees: Tangent of 56° on the Unit Circle
- Tan 58 Degrees: Tangent of 58° on the Unit Circle
- Tan 59 Degrees: Tangent of 59° on the Unit Circle
- Tan 60 Degrees: Tangent of 60° on the Unit Circle
- Tan 61 Degrees: Tangent of 61° on the Unit Circle
- Tan 62 Degrees: Tangent of 62° on the Unit Circle
- Tan 63 Degrees: Tangent of 63° on the Unit Circle
- Tan 64 Degrees: Tangent of 64° on the Unit Circle
- Tan 65 Degrees: Tangent of 65° on the Unit Circle
- Tan 66 Degrees: Tangent of 66° on the Unit Circle
- Tan 67 Degrees: Tangent of 67° on the Unit Circle
- Тангенс 57 градусов (tg 57°) на единичной окружности
- Tangente de 57 grados (tan 57°) en el círculo unitario
- Tangente de 57 graus (tg 57°) no ciclo trigonométrico