Tan 51 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 51°?
Answer
tan 51° ≈
1.2349
Angle in radians: 51° = 17π/60. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 51° in square roots exists, but it is unwieldy — nested radicals.
tan 51° = sin 51° / cos 51° ≈ 1.2349
P(cos 51°, sin 51°) ≈ (0.6293, 0.7771)
T(1, tan 51°) ≈ (1, 1.2349) — 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 51°?
tan 51° ≈ 1.2349
Is there an exact value of tan 51°?
Yes: 51° 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 51° ≈ 1.2349.
Why does a calculator show 0.9031 for tan 51?
The calculator is in radian mode (RAD): it takes tan 51 as the tangent of 51 radians, tan 51 rad ≈ 0.9031. Switch it to degrees (DEG): tan 51° ≈ 1.2349. 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 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
- Tan 50 Degrees: Tangent of 50° 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 57 Degrees: Tangent of 57° 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
- Тангенс 51 градуса (tg 51°) на единичной окружности
- Tangente de 51 grados (tan 51°) en el círculo unitario
- Tangente de 51 graus (tg 51°) no ciclo trigonométrico