Tan 80 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 80°?
Answer
tan 80° ≈
5.6713
Angle in radians: 80° = 4π/9. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. tan 80° can't be written with square roots: 80° is not a multiple of 3°.
tan 80° = sin 80° / cos 80° ≈ 5.6713
P(cos 80°, sin 80°) ≈ (0.1736, 0.9848)
T(1, tan 80°) ≈ (1, 5.6713) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.
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 80°?
tan 80° ≈ 5.6713
Why does tan 80° have no exact value?
A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 80° is not, so no such exact form exists; the value is used as a decimal: tan 80° ≈ 5.6713.
Why does a calculator show 9.0037 for tan 80?
The calculator is in radian mode (RAD): it takes tan 80 as the tangent of 80 radians, tan 80 rad ≈ 9.0037. Switch it to degrees (DEG): tan 80° ≈ 5.6713. 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 70 Degrees: Tangent of 70° on the Unit Circle
- Tan 71 Degrees: Tangent of 71° on the Unit Circle
- Tan 72 Degrees: Tangent of 72° on the Unit Circle
- Tan 73 Degrees: Tangent of 73° on the Unit Circle
- Tan 74 Degrees: Tangent of 74° on the Unit Circle
- Tan 75 Degrees: Tangent of 75° on the Unit Circle
- Tan 76 Degrees: Tangent of 76° on the Unit Circle
- Tan 77 Degrees: Tangent of 77° on the Unit Circle
- Tan 78 Degrees: Tangent of 78° on the Unit Circle
- Tan 79 Degrees: Tangent of 79° on the Unit Circle
- Tan 81 Degrees: Tangent of 81° on the Unit Circle
- Tan 82 Degrees: Tangent of 82° on the Unit Circle
- Tan 83 Degrees: Tangent of 83° on the Unit Circle
- Tan 84 Degrees: Tangent of 84° on the Unit Circle
- Tan 85 Degrees: Tangent of 85° on the Unit Circle
- Tan 86 Degrees: Tangent of 86° on the Unit Circle
- Tan 87 Degrees: Tangent of 87° on the Unit Circle
- Tan 88 Degrees: Tangent of 88° on the Unit Circle
- Tan 89 Degrees: Tangent of 89° on the Unit Circle
- Tan 90 Degrees: Tangent of 90° on the Unit Circle
- Тангенс 80 градусов (tg 80°) на единичной окружности
- Tangente de 80 grados (tan 80°) en el círculo unitario
- Tangente de 80 graus (tg 80°) no ciclo trigonométrico