Tan 66 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 66°?
Answer
tan 66° ≈
2.2460
Angle in radians: 66° = 11π/30. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 66° in square roots exists, but it is unwieldy — nested radicals.
tan 66° = sin 66° / cos 66° ≈ 2.2460
P(cos 66°, sin 66°) ≈ (0.4067, 0.9135)
T(1, tan 66°) ≈ (1, 2.2460) — 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 66°?
tan 66° ≈ 2.2460
Is there an exact value of tan 66°?
Yes: 66° 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 66° ≈ 2.2460.
Why does a calculator show 0.0266 for tan 66?
The calculator is in radian mode (RAD): it takes tan 66 as the tangent of 66 radians, tan 66 rad ≈ 0.0266. Switch it to degrees (DEG): tan 66° ≈ 2.2460. 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 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
- 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 67 Degrees: Tangent of 67° on the Unit Circle
- Tan 68 Degrees: Tangent of 68° on the Unit Circle
- Tan 69 Degrees: Tangent of 69° on the Unit Circle
- 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
- Тангенс 66 градусов (tg 66°) на единичной окружности
- Tangente de 66 grados (tan 66°) en el círculo unitario
- Tangente de 66 graus (tg 66°) no ciclo trigonométrico